PHOTOSTAT FACSIMILE
REPRODUCED FROM THE COPY IN THE
HENRY E. HUNTINGTON LIBRARY
FOR REFERENCE ONLY. NOT FOR REPRODUCTION
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Of tfegccidting.
wth whom oticdtalcsararo^.then
to fall vpon the point ac firft, cxcrpt
you mcanc to /urprifc him by fome
fli»rt queition. It is bcrter dealing
I with men in appetite then with thole
which arc where they would be. If*
man dealt with another vpon con-
| UtLioiMjthc ftartoi Hrft pcrfoimancc
i ual, which a man cannot reafonably
J demaund, except either the nature of
I the thing b rfnch which muft go be-
%*.^brc- pr elf* i a van JT
Of fo&mer$K*& friends.
not vpon facility.lt is a good precept
generally in feconding another : yet
to adde lbmewhac of ones own, a> if
you will graunc his opinion, let it be
with fome de/nndtion.lfyou wil fol-
low his motion: let it be with condi-
tion :ifyou allow his counlell, let it
be will 1 alleadging further realon.
Of f$llmer$a*d friends.
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Of followers and friends.
onto h«:n with v^tiom they range
thcfclues,biit vpon difco itentment
concerned againftlomc othcr,wher»
Vpon comTionly infucrh that ill in-
tcIlgeiKeth^twee many timofee
between grea: pcrt'onages. The fol-
lowing by terca n States anfwcrablc
tothu whic»a great pciTon him-
felfeprorcni,thliiofrouldierstohtm
that hath been imploied in the wars,
and thr like h.ith ucr beeiVc a thing
Of Negotiating.
Tis generally better to
deale bv lpeechttan by
ietter, and by the me-
iit;ti..n ofa third then
by a mansfelfe. Letters
are good when a man would draw
an aunfwereby Letter bickea^ainc,
or when it may let lie for a mans iu-
ftirtc iu<" n afterwards to produce his
ownc Letter. To dea''' in perfen
BOOKE NAMED
TECTONICON,
Bricflic (hewing the exad mcafuring, and fpeedic
reckoning all manner of Lan^Squares/TimbcTjStonejStceples,
P tilers, G lobes >&€. Further, declaring thef>rfctt making and large vfe
of the Carpenters Ruler, containing a Quadrant Gcometricall : compre-
hending alfo the rare vfe of the Squire. And in the end a little Trcatife
adioyning, opening the composition and appliancic of an In-
ftrumentjcalled the profitable Stafte. With other things
pleafanc and ncccflarie, molt conducible for
Surucyers, LandmeatcrSjIoynerSjCar-
penters^nd Mafons.
Pub/ijhcd by Leonard D i g o b s Gentleman, in
thejeertofiurLird, 1556.
Imprinted & London by Felix Kyngston,
dwelling in Pater-nofter row, ouer againil the
ilgne of the Checker. 100$. . & ^
L. D. To the Reader,
Lihouoh (gentle Redder) many, excellent in Geometrie,
vpon infallible grounds haste put forth diuers moft cer-
t*inc andfuffictent Rules touching the mcajurtng of all
manner Superficies : yet in that the Art ofnumbrin?
hath been required,: ea chiefly tbofe Rules hid,anda4 it were locked
M in ft range Tongues jhey doe profit (or bane further c£)very In tie
the moft part : Certes nothing at all, the Landmeater, Carpenter,
Afafon,vr anting the aforefaid. For their fakes,! am here pronoked
not to hide, but to open, and fo encreafe the Talent which lhaue re-
ceived : yea to publift in this our tongue very fhortly (if God fine
life) a volume containing the flowers of the Sciences Mathematu.
call,Urgely applied to our outward pratltfe profit ably plea fant to all
manner men tnthis Realme. futbemeane time fJhaR defire the
Artificers aboue named, to be contented with this In tie Booke [a
tafle of my good "will towards them) ftbtch I wtfh euenfo to further
the Readers, as I know it fuffcient for the true meafurtng and rea-
die account of all manner LAr.d,Ttmbcr,Sionc£oord,G}a[feiPaHe-
ment.&c.
He re mine adttice fliaUbe to thefe ^Artificers that will profit in
thisjr any of my booke t,nowpubltfhed,or that hereafter Jhall be,firft
anfufely to reade them through, then with more iudgement. Reade
at the third readtngfrittcly topraclife : SofeVo things flj all bevn-
knovine. Note,oft diligent reading, ioyucd with ingenious pratftji
ctufitb profitable labour,
Th;u moft hart ely farewell ( louing Reader) to whom Itvifh
my fc/feprefent, to further thy defire and
praUtfeinthefc.
A z
The
THE PLEASANT PROFIT OR
content of this little Booke, and in what it
cxcecdcth all other fMJhed,
iTbct bookes toforcputfoith in ourEnglifti tongue,
contained onely the bare mcrrfuring or"Land,TW-
y^^^! her, and Boordrhow agreeable in all places to the
rules olGromcttie, let the learned nidge. Horc (gentle Rea-
dcr)cheu (hale plainly pcrceiue through ttiiigent reading, hovv
to meafure truly,and very fpcedily all tmnncr Land, Timber,
Stonr,Stcep!es, Pillers.Globes.Boord/jlafle, Paixmcntj&c.
without any trouble : not painted with many ruIcs,or obfeure
tearmes, nor yet with the multitude of Tables, as heretofore
hath been: in which not a few errors were committed : for
thatcaufeno tuft account might any way be had. Furthcr,yc
(hall by this booke vndcrHand the whole making and comely
handling of the Carpenters Ruler, with the true meafure, &c.
And his vfc appointed to the readic mealuringofallkindc of
Timber,Stor,c,Boord,&c. Alfotheleuelling of grounds, and
taking of heights, is plcafantly and diuerfly pratfifed by the
Ruler. Ye haue here not the common, but the rare vfe of the
Squire,applied to heights, lcngths,&c. And to the finding of
thciult hourc of the day diucrs waics, through the aide of
pleafant Tables newly adioyncd to my generall Progn oftica-
tion : by the which the pioportion of things, dircdt or fquire-
Kvife (tanding.are by their fhadowes knownc.
To conclude, in thcendofthis Bookeis added aTreatife..
(hewing the making, and vie of an Inftrumcnt, by which yce
(hall get lcngths,iieight$,brcadths,wideneiTes, where or
,j howfocuer they Hand. Other ncceiTaric things arc
contained in this little volume^vhich I
•g commit to the diligent
I I Reader.
DIVERS THI NGS
CONDVCIBLE TO
THE ARTE OF
Mcafufing.
The firft Chapter.
&rbercarc fetoe draftfmen Uibfcb charter
bane all tbc tuners of ftrfrbmetihe namaSti
reao:lt>: fo 3S dqc fuppofe none fo ig*
nojant, but tbat ticv noe, oj map
rafiltc pereeiue tbc fimple flgntfica*
M'ona of rhefc £barattcrs oj figures,
1.2.3.4.5.(5.7.8.9.10. 3no alfo tbelr
ff rcngtb in tbe firtt, fecono, ano tbiro
rames placet).
i5ffioecfbaf,tb?i'niua bee familiar toitbtbefe anD fucb
like fractions*
I " 7 ti Tf ? t Tr-OefirnftefUDartbetohenetbcncfe. Fraction*.
tono pare of an tobole,bc it pcarcb,3ncb, 0; anp ctber mca»
Tare : tbe ntjtt,ene tbiro,tben one fcuentb part : t be otber t\\>
fulng,enc urreciub.^conr tbtctic ana t!»3 parrs of an Iiub.
Cbcnfolloto rlr.ee fourths : foorc ftfttjs. setje (ad is nine
tetttbtf of an 3ncb : t ijat is nine parts of an 3tacb,bmi0eo (nto
tenne portions.
Cbefc 3 Doe intense to pat in my examples , anD in mp
tables ano margtucs follototna/, tu repjefent parts of pear*
(lies 0; Jncljcs. fls tf 31 tooulo u>aue balfean 3 tub, aftec
a 5 n)ts
3
rf ;' The Art of "
rbfs manner I.SSbm quarters of an mcb tbus) £>uee(gbC
of a pwrcJj.on 1 1) is Uitfe \ so of tbe reft.
3U is rcquifite aifo ijcrc to open tobat a yeareb>a Dap
U) oibe,a ftaoBc>anD an Nereis.
aitbougb tberc are timers opinions engcnD:co th:ongft
longcnftontc(amanpplarcfl,oftbclengt!jofal3earcl>Ct)pon
\yfcicb our cbfefc matter oepcnDetb)pet tberc is but one true
l^earcb bp Statute nppopnteDtom:afarc bp. C&bcrefn is
o;oamcO t h; it Barlp copies 0 ? t c a n c r o u no to make an incr):
ttoelue Intbes,a Jfootc : tbjee $ cotc^a Acre.
!*aroc : 6uc garoes, ano ;. a pcarcb :
f::ri'c pcarcocs in lengtb.ano foure (n
fc:cast b an Acre. &o an flrrc bp ttatnte
ongrjt to eontame ifo.pcarcbcs; the
balfe 3rrc 8o.pearcrjcs 3 a ftarte com*
rnenlp ealteDa qnsrtcr -to.pcarcbrSja
bap 100384. Wearcbes.Lobcrc tbe Acre
crpjcHco toltb bis lcngtb,ano b: eactb-
Ionruments % muff not omit tjcre to fell pou tob at tbing Is meet eff to
lol?"fuje mcafnrelano toftb.SEbeutifeeommonip In tbc countrfcttoo
cord knoSed ^oalcs;dtbcr of tbcm tbc lengtb of a pearcbEbep arc Ucrp
pf oGtabic SQ0&. ??ct fo; all ftinDc of Jlano, a Cojoe flue Pcarcbcs In
ttaffc. icng t b,ioc ll fearco ajitrj toarc ano rofen, hnottcn 0; marbeo
at tbc cno of cucrp lPcareb,fs mo j c mate ano r caoicr .l5u t in
rap fan tafie,tbc fnttrument <Dcometricall,tob»cb is pat f c:tb
in tbc cno of tbf 0 boohc patTctu tbcm all ano otber, fo; tbc rv
ntttrat&anbqufchcff fpccDc XW 37n(frumcnt is fa gene
rail ano auailable to (0 funo: ir tbmgs,tbat it alone rcqniretb
a targe booUe,tf it ujonlo be fuffielentlp fee f o:tb.
T.iangic. flifo 3 Vuoulo not bane poa iguo^nt Inbatpccce of HanD
fs calico a Srianglc/tobfcb often fljnil bcrcaftcr be names It
is fur b a faujfoneo pace asbatb (oj is imagined to bauc; tb:rc
Line failing floes, ano tbjee 3uglrs onclp : tnbttber tbe Goes be cqaait
fquircwifc. ^ otbcrto{fe,as tbto fjtjurc fbetoctb. 0gamc,notc tbat a line
fsfaio to fall Squire to lfe,tubcn it cattctb anplhm&ojang
floe of a triangle lull croCfe, tike unto a Squire : tf s tbc
banging
I
160
» 2
8o
8 4
4°
c_ _
5- J
_
5*
* 8
20
IO
16
meafuring of Land,
banging pjfcfeed UtIC a. b. in c. d. * inc.
tbe bafe line of t he £Crf angle, to
It enttefb tfje fioe fqui'r rtuife, o;
fall croffe in tbe popnt b. ano
not as tt)e otber lute a. c. Dotb.
SCbc bifc of ante SCrfangle is
bcre calico tbat Hoc, tobicb (0
cut fqair eUnfc of tbe ba ngf ng line.
Concerning a Circle, hnotoe tbat (be compaffc of ante cirdc
Circle is nam co a Circumference : tbe mlbble popnt in tjnn
t)is Center : tbe rigbt line h. i. tbat
goetb oucrtbUiart tbat Center
touebfng tbe Circumference on
botb Goes is tys SDiatnctrr J tbe
Ijalfe of tbat line, tbe Sscmioiamc/
ter. ftlfoanSrcbfsapeece of tbe
Circumference cut atoap, as pe fee
tbe flrcb aboue rr,c line f. g. 8lfo
f.g.h.i.tn tb<* Circle are namcb parallels: fa j tbat tbep Differ
equally in all places,! be one from tbe otber.
$ofe,bccaufc pjattife ano erperience u)etoetb me, tbat
tbere is aline tt no ftano, but it mapeaftlp bee bjougbt bp
Imagination to a ICrfangleojSrfnnglcs.anDfo moft trulp
mcafurcb : tbcrefc?e,f 0 beu)o;t,tim3omr (baUbetancn. 31
uull fit ft figure ano let afo:e pourepes SErfangleO JLano,
ano otber tobfeb dp imagination fljalfbc b;ougbtfnto 2Crt=
angles. 2Dben I (ball teacb tbe true meafuring of tbcm: 1
sneane,botofo finoe a lengtbano bjcactb, toftb totjtrh yrc
(ball enter ibe table of account following, tobere tbe acres
anbooocpcarcbcs (if tbere fee anp)ft)allappeare. 3s tbefe
figures arc meafurco, to all SDrlangleD Lano , ano other
bjougbt into SCriangles , of ntoat faOjlon fo encr tbep br,
(ball be meafurco. flno becaufe it is rcquifitefo; true mea-
furing of alt STriangles, to finbe a ffrcigbt banging line, 31
(ball fbctu fir ft bob) tbat line iB to tec fomm, tm*i3liico,o*
t;aumc,
How
Circumfc-
rence.
Center.
Diameter.
Semidiamcter
Arch
Parallels.
The Art of
How the right hanging line in
Triangles is drawne.
Tbc if. Chapter.
Todrawa nptetJ ffrafsbf banging line in all £rf angles is ener
hanging or J[ o jatone oj imagined from anp Angle, cutting feme one
plumbciinc. coc 0f t^at sLrian0le fqolrcUrife: as pa map pcrceiuc t^e
p;tcfec& lines in toe Erlanglcs foltototng. )i5p tftc bctpeof
fhtslinr, all Lanosof triangle falcon, arc bjougUt to b»
mcafureDasenfuctt).
How
meafuring of Lan d.
How to meafure all manner
Tri angled Land.
y <;*■/<
Then]. Chaffer. s
fr tbcu bfc an arftbmetfeian, multiptte tbf* Euclid i.
$5S5$ §£]! Ct?ictt banging line, ojaione, as abeue fo Bookc^-pio.
Illn ciiil u)e\reD,mbalfe tfje number of pearcbes of
I^Jsjg&P- tbat fioe, tobicbtt euttetb fqufretoife. jfaj
i^S&X' toant oi tbe iinotijU Dge, tahe tbe afojenameO
V^carebcs (1 meane of tbe banging line, ana
fcalfe tbe Hoc u>bicb be ruttctb) ano toitb tbat Iengtb and
bjcaotb enter pour table of aceounf,as there fs fe t fojtb. &o
ty.Ul fe pcrcauc tbc number of :3crcs,tt opo^D wtoo; Hmc.
Example.
r;©; tbe perfect meafurfng cf STrf angle e afo;c fignrr o,ano
alt otber,fappo fc tbc fee one of tbefe latt nine figures of the
otberuoe, bauing tojitten aboue ita.b.c.d.tobccapeeeeof
Iano,Uibercof J tooulobaue tbc true meafure, BlfinDebp a
Ccjoe, otberunfe, tbc p:tchcD banging line a. b. to bee 23.
pcaccbcs : tbc fioe b.c. tobteb it cuttctb fqutretaife^. Ipear*
cbe0,lobofeba!fei02 2. caitbtbcfezi.aim^. tbceonuent'
rnt iengtb ano b:caotb, 3 enter tbc table of account. SEbcre
31 finer bp tbat ££nb!c at tbecojncr Uiijeic botb tbc line* cf
conuenient Iengtb anu bjeabtb oai meete j. tfcref, 6. Dap
tuo;Hc3,nr d tiuo pcarcbes to be in tbat triangle. SEbus of
all befoje figurcD.
dperc note pour ECablc mnft rocrfece entree toitb all tbc This Table
jaearrreo of tbcbangtng Une, ano toitb batfe tbc fioe tbat be toiiowcih.
cuttctb fejufreluifc* £>; toitb tbcbalfe banging Une, ano tbe
tobotcfiaccut.
-C A figure
The Art of
A figure of a double
Triangle.
Tfyis figure e.f.g.h. is bat ttoo Crf>
angles: anatberef sic meafarcD as
aboue in ttuo parrs. Q: tljus : SDbe
banging Kite, c.g.tS33 Pearebeo : tbe
0dc f.h.tiwtbec cu tctbfqutretoifc 20.
pcarcbes,tbc baifcof tbeiobicbi* io«
$oto enter pour £ able as afoje, \u ttb
3 3. ana 10. tbe conucnicnt Icngtb ano
b;caotb. £>o (ball pc ftnDc ttoo acres,
tuJoE>aptoojRcs,anDtfo)o Pearcbcs,
tbe true content cf tbfo figure e.f.g.h.
Another example.
AtDmit ilcl.m.lano to be meauucb.UBecaufe it fsno man*
ner2£tfangte,ftiimfi be b;ougl)U» imagination, as 31
ny Angles. ^ f ^ jntfl fl rr f (anglc fl, £rrfans|J£ m fa fmagfoatt-
on is becre fignificD b i> tbe hue aa tyco LI. Subcn as aboue is
Declares, ft ougbtfo bee meafarcD (aeeoj&mg fotbe rule of
SCrianj!rs;mtU)3parts,bceaufctn::rc arefiuo SCrftnglci in
tbat lauD. bo bp p;cofc ye ujai! finOe in tbe Upper i. ™. 1. enc
8cre,?.tUoDes,ano fine $Daptoo?iis;fn tbe otbcn.k.l.une
3ae.£Cbu6 3igat!3crl!)c tobolc content of tbat JLano,to bee
tujo 8crcs,tb;ee Koobes,anfi Cue gDapfoajftf.
ft one
meafuriog of Land.
#oneotbertoifc of tbe aofopncD n.o.p.q; ana all other ft*
gurcsfollotmnjj : ano otfccr IMatfoeuer tbep are,tbat bp anp
mcanes map be b;ougbt Into SEiiangles.
i?urtbermo;e mtoti) tbat tbc figure i.k.l.m. is rcabtlp tbus
WfafurcD. floce tbe jpcarrbesofbotb tbe bangmg lines to*
getbertfo bane pee 2^. CCLlitb totes number, ano toitb fcatfc
tbeprarcbes of tt)c Coc,i.!.Uitjtcb bec cuttettj fqaircwtfe, be*
tug io.1Pcartbes,cntcrpcurIDible.^ofsfQun&as afoje.
SDbcfc ttoo figures foltotufng map alfo beef bus mcafurco,
otbci totfc tben b^tije rule of SErtanglcs. Cnrr r pour 2Lable
lDi;l) tyefr comicnicnt lengtbanc bjeaotb.^o Ojaii pou finoe
tbe contents cf all fuck
JCbefc tlncc figures follotofng,aIfbongb tbepmap bernea*
furcsup tbe rule of EDrtangtes, pet foj qufefeer fuccoe, tbcp
tan: alfo tbeir pzoper mcafuring as enfuet i).
Lap togctber the tloo noes tobfeb are parallels of the fir ff
figure a. tbat Is <5.f 1 S.mahfng z^tbc balfc is 1 2. tbe bieaotb
5- Cntcr Uritb jano 1 2.pour tabte.&o banc pou one rmD.anb
flue bap toojfts. j*o? tbe otber ttoo b.cano fucb if !?c,lopne tbe
Ijcaos 0; cnos in one:ano enter pour table toltb balfe of tbofc
pear c tjes, nnD foil Ij tbe Xurjcte number of tbe m too Ic line.
b
€ l
\ nc to 7*\
X » ± s w
x *•
The Art of
lion
Foorc rules
following.
How by fupputruion to mcafurc
ah mangled land.
Tomeaitre T£)pne all tbe fiocs together s tafte balfc on? of rbaf balfc,
trUngted und lpuilcncrpfiOc, noting tl): Difference. SClKiunuhMpUf the
by lupjHia- oiafercncc8,tbc one in rtjt otbcr,ano tbe rbus D (Terence aug»
ment fit tbe p:oou<t. 23m Ui'otcb encreafctb, nwltipUe in rije
balfc of all toe Hoc j topiuD. Coen tbe Uaotr of tbe futmoun*
ting -ummc 10 the content of toat sDrtanglr.
$ott) reft four-; Uutrs to be trcatco of. 2Cbc firft foiall
manner Urgulirfqunrc superficies. Eljc feconofo: round
Lano,ano bsr parts. Cie tbtro foj &tccpks, Colutnnrf,
<2»!obra,ano their part3. SEbc laft foj $pountaines,anD Cial*
lepj. tperc t&ep (ball in O20cr folio u>.
A rule for all aianer Regular or nVht
fquared Land of many lideSjas
5.(5.7.8.9.10.20 100.&C.
7^* tiif. Chapter.
3afurcf.no lap all tbe Ores fogc tbe r. fa Mug fbe
lalfe number of ^:anbrs tbere conr ipucO.
&bcn o:ali) a ri gb: bang»ng line from tbe Ccn*
I fcr 0: mi&Ccft of tbat figure, 02 tbe uitccrft of
fame one fioc. anotoitbtbat lengtban&tbe o»
tbcr,cn'er pour Cable, #otctbat tbe JErianglr of alt ftoes
llbc , ano "tbe £uao;ate figure are alfo mcafurcb bp tfcts
rule
Example.
Sappofe this figure a.b.c.d. to bar a ffre fguare pare of
JLanfi.ano eucrpfioe m- Ipearcijcs. £&c tjaliefunwtc of
all
To mcafurc
land ot many
ii-.-s.
meafiring of Land. 5
aUfiDesfo7*.p™rcncs:tbcrfa^t&angfng pjfchcb Imea.c.
» 1 . pear ct?c0. »tb tbc fc t lau numbers pe mud enter pour
Cable of account f oilaiwmg bcrcafter. 3nD D je as is openro
In trie Declaration t Ik re »oi j ,>nco, Voben lumbers farmount
trjc Cable as rbet> Dae here.
3>o U>ili PcfmOey 3crr*^.ttiBD,nnD8.£Mt>iDD:*tfs, tbe
content ofttys figure a. b.c.d.©uen tbus ts tbeor^cr nme
fqaarco figures mc afureo,dno fuch HKc.
1+
f\ ac t» «a Z*
^4
A Rule for round Land,and *
the parts thereof.
Tbev.Ch*fter.
fllfetbc Diameter multiplied in balfc the <£fr. Archimedes
|i umfcrence, u>u>etb tbc content of anp Circle, in libciio or-
4D?tbus mo:e platnlp. ?e $all enter ponrcu,,menfui*
"able toub balfe tbc number of pearcbes of the uonw-
tohole Circumference dj rompaffc, ano toitb
the nun b^rof tjalfc trjr Diameter o;b;caDtb 3>o bane p«
tbc content.
B 3 Example
The Art of
Example,
SdppofcapffccoflnneM^coft^eccmpaffciuioo.pear*
cbes,tbe b;eaOtl) p.t.^e; r£t)i 0, J tooulb Rnoto bcUnnucb
Long is in tbis figure .enter pout Stable lo:i:j batfe tbc com-
paffe, tbat (s 5°*ano v»itO balfe rte .^J?- »,
b;caerb, tbat is i6.pcarrijrs. JBc* y^ 1
tmife in tbc Stable 3 cannot nncc 5C» /
foj tbe grcatett lengtb fs 40. (tfcerc* / I
fo;c 31 enter loftb 40. ) ano 1 6. &>o c I* ** 3
fount) fonrc £eres. SD&cn 3! enter a> V
gainetottlntf.lPearcbes remamiinr, V
ano 1 6. tbc b:ea&tb as bcfo;c , Hat ^^ ..
Iijtngctft i.Scrr. i^ototorcnelutrbpaDofUon of i.an»4-J
finDe fine 3crcs in that ronuDLauD,U)bcrcticl:ecoiJtpaCrc is
5o.pearcfces,ano tbe bjcactl; itf.pearcocs.
How parts ofPe.mhcs arc to be
counted in mcafuring.
F£>j perfect fenotolcasc ano fcfc of tbte Sable follofofng,
toben parts cfpcarcbcsarc aDisjuicD, note lutit tbis o«
tber trample t(:at mfnrtb, ana alfouibat is faio of tbc occla*
rattan annercD bnto the table,
fD&en parts of Pearrbcs arc in
tbe lcngtb3bjcat;t.f?,o; botb.
imagine £gh. to be arouno
peecc of LanD : 3! finfie by mca*
fare tbc U)bole compaflc, 99. jj
locate Ijes. Ebe battels 49. ~.
SDbc banging &fne o; balfe
bjcaotb iB 1$. £. (Snter poor
Stable toitrj t!;c to&olc ^ear»
cbes, tbat is 49. ano 15 lea*
uingout ;.mu<.i.u>&tcb tocre but parts of pearcbes-^obauc
meafuringofLand. 6
pc4.3err«, 2. Uacs, 5.2)apUjo2fej,an3 ?.]9<?arcbes. 5f«* *
tbole pacta of JPearcbcs omltteo, at pourtirtf nttrfUg tbe
EabtcajojKetbus. 2Sbeb^ifc prarcb, Quarter, cj otber
part of apcarcbm tl;c lengrb, muttbcerechcnco bp tbem-
felues fit tbe tobolc b:cotb,ano tfeofc of ttjc b;c:tf>tb ecntrartc
toifeintbclcngtb. jftbercbcefocboooe parts in botb, tben
rcchcntbentoftbe!cngtbmtbett>boleb;caetb, ana tbcm of
tpcb2caotbui trje lofiolc lengeb, lopnwg to t\)t otber afoie
Sottcn,remembj<ngtbepjoDuctoftbe one fraction multiple .
cd in tbc otber, to be pallco from the emrcafe. £o ma«e tbis
matter piamc,3 mill faae tbis lafterample befoje. 2Cbc one
number VuberUMb 31 ffjeuto bauc cntrcb mp table,Uias 49.7.
tbcotberij.^.Blfounofirft bpcntrfngtoitb 49.anO15.Co*
muting tbc oooe partsj4. aeccs^.iXooos,; . 3Xipto jifcs,anD
j.pcarcbcs. $ out fo: tbc cnereafc of tbc parts of pearebes
left oat,3 muft (as 3 fafo,) recften tbem oftbelengtbintbe
bjcaotb, ana contrarltoifetbem of tbc bzcaotb in tbclengtb.
I^alfe 15. J- is 7 |^arcbcs,anD }.2Eb:cfc quarters of 49.I0 37*
pearcbes, ^. seitycb aDoeo,mattcs 45. pearcbes. Ebts ao*
iopneo to tbenuihbcrafoje gotten, btfngetb tbc tobolecon*
Unt of tbc rouno figure, mbieb tS4.arres,3. ttooos>4E>ap*
Uio;ks,5.pearcbes,anb|.ofapearcb,tbepjoouctoftbconc
f radio muMplfeo in tbe otber fuboucieD.£2lbat mutt be bono
loben tbc numbers toberewttb pe ftjcnlo enter, ercccbc pour
table,coanfcl tbc Declaration of pour tabic tbcre aofapneo.
Ofthehalfc Circle.
F^MbisbalfetfrclMrTrertbe %, g To^cafure
Cable totfb batfc tbc com* J* — Sr"**V J*«"«W
pnflTe. anb Urftb baifc tbc SDfa> */ I*. X *
merer of tbe Circle, oilmtb tbe
Icngtb of tbe pjlcueb bangfog
line, k.!. &>o tbc content of tbts
balfcCtrrle fs 2. Acres, i.Ucdo,
7.pr.ptoo;Ues, 1 .]^earcb,ant'-; ^,of a I^arc'o.
Another
The Art of
Tomeafure
parts of cir-
cled Land.
X
N
I ac
Another example of Portions
and parts ofa Circle.
S&ppofe n.ra .o.follaimng, loerc a part of a Circle 02 ptrce
of HanD,tobofc Content i_>c ccfiuo.Stjc toboleCompaffe
of rtie xltrclc tulilcb tfjis poitfcn repjefentctb, (s (as afo;e>
fan) 99. pcarcbes : bis Diameter 0; b;eaDtb 31. ;. Cue
rnefecD arbe 02 Compaffe, n .m.o. 15 74. #oto to f tb t be balfc
15icaD tb 0; S>r mtoia meter of the Circle, 1 5 . {.ano UHtb 37.
the balfc of :hc pjlcheo Compaffe : en. cr pour Cable. £>o
nauepe 5. acres, z.UooDcs, s.DaptoojRcs.ftjcarcbes, ano
-J-.of a pcareb, the Content oi the pace of llano full of p ju Its,
to tbe fioes cf the SCrtangle p jtclicc.
?f pc Oefire to an 0 to tbe fum
of pcarcbes In the other poi*
tton beneath the 2Enancjlc,fe*
parafcD bp the Lmem.o.rce
mutt abbe the Content of tbe
STriangle (tobteb ts^.Uoobes
ano ,'• ofa pearcb, founD bp
tbe Hate of £T r tangles ) to tbe
Seres ano Searches before
fcarcheD. ©0 untie re 4. acres,
one Uoobe,5 SD iptoo2BS,tb2ee
pcarcbes, and ;.of apcarcb.
SCfafe fuburactcn 02 pulleD from tbe number conrafneo (n the
tobofe Circle, the remafnt is the Pc arches tnefaBco mtbc
fmall peece beneath tbe SCriang U .£b .u is, 1 .U© o, $ 6 .pear*
c&cs, ano -;- of a pear cb*
How mixed Figures are meafured.
Land com- TSbnihcncnenoto totll Doubt bote tbefet too figures fol*
pounded of XloVDingarcmcafureOjbecaufe tbep arcmaoc of portions oj
paru Par**of Circles, tobofe mcafure is bcfoie fuffuieiulp ope*
neo
fo
2
5*
4hk
■*■
4-
\
meafu ring of Land. y
neb^be one conOffmcf of tlDO balfc Circles, f a ©uabjangle:
tbe otljcr tetafl tfcc pc;uons of tbe Circle, m o.ooubleb.
<f
^\
7*— i-
i rour'^ri"4
M r
ar fo
n\^
i*tr
*i
3 f nnp cadi fafl&foneb lano ebanc e to be mcafarcD, Urtjf cb
require tb to bee bzougbt into manp Srfangles, tcfaue U«
bours pde map aboe fome po; tion tonte tbat , anD make ft
fqonr c,o; otbcr toife. s>o let it t ben be meafur eo : anD after,
from tbe p;obwt pull aioap tbat pe aocco : tbe remafne is tbe
Content.
To findc the content fupcrficiall of Steeples,
ColumncsjGlobeSjand their parti.
TQ tbe 3rftbmetfcten 3 tap : fo; pfcheo atopics, muUU Tomeafure
pUc tbe tobole ffce in balfe tbe Circumference of tbe steepics,Co-
5Bafe,aDrjfngtbepIafneoftbat H5aff. fo} ptllcrs, augment }£?■*
tbe Circumference of tbe HBafeln tbe Wgbts, putting to Globe»>**
tbe piafne of botb IBafes. for tibtef ,tbe Diameter in tbe
Circumference multiplied : euen fo of j?r apments o? parts*
ILettbemtbat bee feoioc of arftbmetthe enter mp Cable of
account following, mitlj furb numbers as 3 nolo taflleD tbe
gritbmeticfan to tnnltrplie, not forgetting tebat 3 bane be
f o;e w; tt ten. £o % feruc tbeir tunic.
C Or
Tomeafare
pare* of
Globes.
The Artofmeafuring
Or thus by the rule of proportion, the
parts of a Globe are found.
SEJppofc a. b. c. to b& a
pace of a C5t3be,an*4.
to be a p:opo:tion of tbc Di'
amctc r,rbc tobole being 14.
SI) us 31 fdt', 1 4. t be togole
piamctcr giuctb 616. tbe
Content fapcrficiall oftbe Circle : fobat $All 4. b;fng i &o
banepe i76.u>bicb te tbc content of tbatpecce.
To find the Diameter by feme knownc
portion thereof!
To finde the Tjf pe be fgnojant fobat lengtb tbc Dimeter oftbe <£51obe
vnknownc Jj0,tobofe pjopojtfon pe banc ,tbe bclgbt 0; part of toe SDc
r,'i!^tcrof a meet ent being 4-foote,augincnt balfe tbc Hnc a.b. u>bfcb fa 6*.
L in bmtfelfc, nno tbe p; ocuet omiDe bp 4.&0 banc pe 1 o . to
be aooco to 4. tobieb mafcetb 1 4-tbe tu bole D tame ter.
The true meafuringof Moun^
taincs and Valleys.
Tbe vi. Chapter.
Tr ft pe (ball meaforc tbc cfrcoff of tbc f oof e, ox
Bafe of tbe £d oun tame : t be n tbe compare oftbe
S?ummittc c; top,a:&ingtbcmtogrtl?rr. doQal
jneOoe oftbe 3 cenfes, (bat ta,t be going bp from
tbe foote to tbe top, i opntng tbc ineafure of tbe
longer an^djoucrtn one. #oto tafcetbcbalfe of tbc circuit
aooeo,ano tbe balfcpart of tbc 0fcenfc0fopnco,anD enter
pour Sable ; tbcre u)all pe fee tbe Content.
Enfample.
Globe.
Tomeafiue
MouQtainci.
iOO
Mountaines and Valleys. 8
Enfamplc.
A.b.c. is the SBonnfainc: a.c.tbc cfrrnff of tlic 13aff,bcfngF;cureofa
loc P(?.rcl?cs, b. t be top i6.pcauljCS. ©SblCb toplieO tflgC Mountains
fbrt make n6.b.c.
tbc one afccnfe is
S5.]pcarcbes:tbe o*
t&cr 75. £Cbe(e ao*
6rD make 1 30.C0C
balfe of tbc circuits
Is 5S.the baUe orttic
flfccnfrs 65. loir!?
tbefe t\oo famines
pec fintl enter pour Cable of account, ttrfjerc pit fbaltfinae
%l .acres, 2. Uodcs, ano i o. jrfcarcbes, ttje true content of
t&tefigureobiU.
Of the Valley.
A& m tbc e&ountamc pe meafureo tbe circuit o? compact To meafuit
of tbc I5afc 0? if oote : fo bcre romrarte per Ctjaii mcetc Vaiicyt.
rouno about the circuit o: cempaffe of fbc bcigbt of tbc Vtib
lep. 3no as per got tbc mcafur e o; compaffe of tbc top of tbe
fountain e : fc mcafurc tbe circuit of tbeoeptbof tbe SUaW
lep. 3n like manner as per meafureo tbe afccnfe,t bat fs,tbe
gomg.top from tbc fotc to tbc top:fo mcafurc tbc Difccnfc 02
going 00 tone of tbe lmll,to tbc beptb of tbc Haltcp.JEbc reft
al \D02k, as 3 banc u)etoeo poo in mcafuttng tbc SpGuntain.
iFonnoje plain* *mm,
ncs,bcboiDtbte
enfampte 0: ft* m ^^^ ^**^^&
gnrc. "it pc lap
togctbertbeetr?
CUItCi of toe
befgbt % Dcpiti, •«■© f
tobtrb is 2 1 o. *
ano so^taiitng tljebalfepartof tbofc ttoo Circnttcs, maWng
Figure of a
ValJcy.
an
The Art of meafuring
anno s tbcn tbe ftoo 3feenfcs 140. ano 60. a&oeo in one
p;oDuct 2oo.tlj€i)airc thereof being 100: tuirh tins ano 120.
tbeotberbalfc of tbe <Iircuite,pcc auy enter pour Sable.
SCbatoolug,loc 75.80:60,
How the Tab'c of account now fol-
lowing, is to be vfed.
what is to be T iT 7E)ert pon bane gotten a conuement tengfb ana
done when y V *5;eaotb,(ae 3baueaboueoeclarcD bpoiuereCrf*
JJSS2. anglcif ano otter figures) tben poutyall enter tote SLable.
beuUeam ^a{5e r&erc *bc i-*W% «n& ^°tt number of l^earcbce in
cxceeJe yotlr tbc Uigbec margfne,U>bfcb beginnctb at 1. ano enoetb rigbt-
Tabic ' toaroat 40. Lone tbe otber fumuic of Pearcbcs (J meane
rye i5\:caotb)fn tbe rigbtfiocano banging margine, from 1.
Dcfcensing to 50. #ou>at rbc meeting of tbelfncs,toberc
tbeone am'toerctb tbeotber cirectlp ma fquare, pou tyall
finbe toe acr*0,ttooDe*, SDap U>ojke0,anopearcbe0. i^ote
tbat t'oc firtt number fct on toe left Goe, ano tipper part in a*
np fquare, Ognlfi e to tbe number of acres. S3bc figure 1 . fet
In toe tipper part, ano rtgbtffoe,Dolb betohen a*toooe:tbe
figure 2. there ttoo ttoooe0, ?. tb jec ttooces. flnb tbe fi*
v ur c in tbe left Goe beneatb, Ggntftetb a SDap Id o;ft c, 0; Dap
tejoihes. 3 figure in tbe lotucr part rfgbttoarD, Decjarctb
pearcbes.
A Declaration adioyned.
WOenftcbancctb tbat tbe one number 0; botb, toitb
tbe tobtcb pee ft): ■ ilo enter tbis Cable, arc greater
tbanaupberefouno: ft begouctb pouto tali e tbe balfc of tbe
one,nno tbe tobctc of tbe 0 1 bcr,oi tobat parts pe lid of botb,
molrcomuioOiousfoj pour purpefe, t fo enter pour SCnblc.
L ool;c tben tubat is there fcuno, ano it u) ill beare bis name
of tbe parts multfpllco in tbcmfclues.
Enfainple.
Mountafncs and Valleys, 9
Enfimple.
fenppofe t be number ton!) tb'c tobt'rb pe CrjotilD cm rr ponr
2Cable to bee io;.p;arcbcs In length, ano tbe bzeaotitfo.
neither eftbefe map befautto rn tbc margin cs : tohcrcfoje 31
take tbc tbita part of an 130. toljicb is 3 4. pearcbes, ano
one remainctb.
SLbebalfe 60. tb^f is 30. 3! finoc toub entrust bem at tbe
common meeting tf.flrrfs, 1 . ttootsc, ano 5. Dap toojhes.
Cbfs fumntc muft banc bts name of tbe parte augmentea in Look c what 1
tocmfelucs. 31 tooftetbe tbtropartoftbe one,anobalfe tbc haue (hewed
otber number, therefore *. muft be multiplies in 3 .0: con* i'1 rhc chapter
trarie: fo baue pe fire, tobicb fignifietb that pe bauefouno of PS5*
bp entrfng,buttbefirtpartof tbc number pefyoulo finbe. hcreofwhoi.
SClhercnwc 31 mud tafte this fumme tofojc founo (being Pearehes.
SLtttfi, 1. UooDc,anD5.Dap too:hc3) fire times as mucb. leaiHubtr*.
^obane p« 33.arres,anoencfcojDe. jfoj tbc Ipcareb re> ftiDs»*c«
main ing in tbe length , reckon bim in tbc bjcaotb (as is af o:e
bcclarctOin tbc a ft Cbaptcr of tbe Uemaincs : To baue pe 60.
pearcbes moje to bee aoocQ. &>a tbe encrcafe of rbcfc ttoo
numbers, 1 03. anb 60. amount to 38. acres, ttoo ftoebes,
anb5.Daptoojhc0. iEbue anp manner length antf bjeabtb
is rebneebtc tbfs Eable follotoing, tobicb fuff icctb.
Cbns toitb fcto toojes fsenocDtbe rertainc mcafurmg
of all manner tano, touching tbe &upernculi Contrnfs.
GHberefoje noto tyall folio to tbe true meafurlng of &im>
bcr, fcfone, Steeples, pillars, ©lobes, ar:o;omg to tbclc
CraHttnoe.
feucb as are altogether fgnojant of flrftbmctine , map
rechon bp our CBnglffb ropncaltotomg fo: cocrp pearcb in
length ci bjeabtb a penfe, ano fo cuerp $tarbe mahes an
Sere, eucrp $3blc balfc an 2:rc eucrpfohe pence 0; balfc
#oblc,aHa)De,«n&cuerppennica fquarcpcard).3no fobp
mcmo3fctottbout£Dablcs,map in fomcruaeana gro0ema«
ner, eait Up rcafonablc iatt the true contents of all Clofcs,
$peootoes,^aru>0,l£)ilsQj aallcrs.
€3
oj at
a
CX3~tA-BVIyS^s COMPVTATlONlStO
10
w«3i
TO THE READER.
T commeth commonly to parte,
that Carpenters , Mafons, and
fuch like Artificers, are put ei-
ther to meafurc timber eueric
way fquare, or fquared logges,
broader on the one fide than on
the other : yea,many times mu-
tilate or vnpeifeel ftuffe. Some-
times threejfiue^enjOr twentic fquare in thehead,and
fb through : oftentimes round Stone or Timber with
holIowed,&c. Afore I (hew vntothem whatmuft be
done with fuch peeccs of Timber or Stone,to get their
true meafure, my defire mall be, that fuch Craftmen
will Ieaue to be heady or fclf willed: yea [6 greedily to
(tide to their corrupted iules,thatvtterly they refute
to be taught.
Both learning and experience declarcth vnto me,
that the grounds which thebeft of them haue,are falfc.
To open how and where,it needcth not : neither doth
ftappertainc to inftruclion, onelyit may fuffice him-
that Jiketh the true way,herc to receiuc it appointed to
him. Yet to fatisfie and content him which will not be-
lceue any fuch errors or falfe grounds to be,I f ly (and
truly) that the Ruler of Timber meafure, which the
moft part of them hath, is not made by right Art. Be-
fides
-
Totbc^Reader.
fldcs that , their craft in feeling the Square of Come
Timber is very falle. They vfein meafuring, to lay the
broader and narrower fides together in a lumme,and
to take the halfe of that number for the Square. Then
they feeke this vntrue Square vpon thefalie Ruler,and
fo meafuring the Timber,they conclude of it vntruly.
As this is corrupted, lo are other Grounds which
they take to be infallible. Now to the purpofe : tou-
ching the correction of thofe Errors , with other not
mentioned, whereby true meafuring may enfue, this
way fhall be taken. After I haue opened how you muft
handle all fuch fafliioncd Timber (as afore is fpoken
of) there fhall follow a Table, in which ye may finde
(as I will declare) the Square of any Stone or Timber.
fcaFoote Thatknowne,itisrequifiteto haueanotherTableim-
tJnVd j"™" mediatly following, which may appoynt to all true
inches. Squares from i. to6. inches, theiuftlengthtomakea
Footc euery way fquare. With the length agreeable to
your Square, your Logge muft bemeafured. And as
oft as ye find it from the one ende to the other of your
Timber,(b oft ye may conclude the Footc fquare to be
contained in that timber Logge, or Stone : that is, Co
many fquare Feetc there to be included. This Table of
Timber meafure ftandeth in the place of a good Ruler,
well decked with true meafures. By this yc may
make or correct Rulers at pleafure,as
after appcareth.
Now orderly fottoweih the true medfuring ofallfajbhned
Timber or Stone aforentmed.
II
How Timber or Stone fourefquare
cueryway,or broader ontheoneildc
than on theother}is mcafurcd.
Thevij.Chdfter.
' Jf a prccc of Stfmbet 02 fr tone, be e(*
tber equally fquarc, bjoaocr on tbc
one (ioe,tban ott t be otbcr, pee f^all
take tlje tuft meafure.l meane, boto
manp Jnchcs t!;c b:oaDer fioe con*
tainctb : cacti fc of tbc narrower.
£f)ff Donc,pre n aft feckc in tbc £Ca*
[,ble oi snu.irc0 follototng,tbemea'
fnre of tbc tooaDcrfioe 01' tbc Sim*
bcr o) s tone , fn tfyt bppcr margfnc of tbat Sable. STbcrt
Iffihe fo? (be number of 3ncbes,cf tbc equatl 02 narrower
Coc in tbc rigbtp3rtano banging margfne. 2Lt tbc common
meeting tobcre tbc one number anftoerctb aircnlp to tbc o«
tbcr,tbcrc poor true Square (ball appeare. Sbts square fo
founo, (ball be rcferreo to pour Sable of HDtmber meafure :
in tbc loblcb pee map plainclp fee (if poo runnebotone bp tbc
left margine,tjntill pour Jnttico fqnare appeare) bo to utanp
5?e etc 0 j 3 nebes of pour JKucr bclongetb to a Jfootc fquarc.
tf 3 often as tbat mcafure tberc founo te contafneb in tbc
SCfmbrr 0: fetcne, fo often ano asmanp Jfcetc fquarc pee
map r 0 wluoc(um bou t &cabt}tbe pcccc of Z tmbcr 0; stone
to bauc.
£) Enfample.
20
The Artofmeafaring
Enfamplc.
^uppofc tbfs fqnareb timber o: £>tonc a.b. c. d.focr? f o
fcemcaioreDjtlje bjoaoerfioea.b.io.Tncbes, tbe narrower
foeb. c.n.3nctje0,tt)elcngt!)4o.3ncbe». ilioto 3 mud
fec«et!>cb:Q:.bcrfioe 2o,mebebppennarglne of tbe Sable.
SCbe narrower fibe 1 3 , nmft bee f oono In tt*e rlgljt G&e ano
Ranging margine. Sit tbetr common
mcetmg,i<5.Inebes,anD;.partofan
3ncb fyal appeare. Sbfs true fqoari
matt be fearcbeb fo: in t lie Sable of
SDunbcr meafure. Cbercfoje loohc
fo? i6.iu tbc margine of tbis ffl>
Me. 311 ftcS&quarcs tort bbimr.gb l*
tsarb, pe ftjall finoe 6.3ncbcs, anb J.
tobfeb is t b:ce quarters of an 3ncb.
g&omc beale left of pour Uulcr t ban
6.anD ;. latD out topon tbc EDfmber,
mafectb a jfoote Square. 0nD tbat
meafnrc fobfrectlp banbleb, is con*
rawebui tbe lenjtb of poor SlmberGrc timts. CGbtrcfeje
affirms fire f oote there to be, befibe tbat ts left 5V part of a
If cote, #otc becanfe tbe squares at all times (In tbis On*
temple) rife not to earn 3ncbes,but fometime to obse parts:
rbcrcfo:c aeeo;btng to pour bifcretion,aooc 0; tahe atoap
feme part mo; c 02 teffe in fctt tng foo;trj tbc JToote fquarc, as
aboue is perfo;meo.
Ht toere Intolerable febfoufnefTe, pea foipofflWe to fet
fooitb tbetrne quantities of Ctmbrr meafure, to all oDDt
qua.ititfcs of squares. Sbebifcreete handling of tinfe, tbe
in: fa fyall tying to a uiffgfent eraaneffe.
Of
Timber or Stone.
iz
Of Timber or Stone,}. 5. 10. 20. or
moe fides Square,&c.
The vtij.Chapter.
rfeen SCfmbcr barb Diners equall £>qoflre« mtbe
I bcao ,ano fo tu? ougb : firtt meafare ail tbe fqaare
Gccsrouno about tbe beao 01 eno of tbcSCnm
ber. SDbctt takebalfe tbe number of tlje lubole
•'meafare fo; one b;cao tb-
2Dbcn mcafurc from tbe Centrc(to>bfrb is (be mfoote of tbe
teao,o; eno of tbe Cimber) to tbe mtolett of tbe fquare fioe,
bettoeene tbe ttoo angle*, ano take tbe mtafure or tbatbi*
flame fo; tbe otber b;ea»tb- #oti> rcfojt M tb tbe meafaref
of tbefe ttoo bjcaotb*, (as tofo:e) to t be Cable of &qnarei :
fee hing tbe bigger n um bcr 0 j b*ea*tb (it t b c bpper mar 3 m r ,
anD tbe otber letter in tbe fioe margme. ffifrtb tbe Square
tbere forme, bane reconrfe to tbe Cable of &tmbcr meafare,
ano ooe as 31 bane mffr nctcD.
Enfample.
flomft this fmall peece of Ctoiber fine
fquar c,c. f. g. h. fljouU) be meafarefr,enei:p
floe being 1 2.3Jncbco.3f peaooeiogetber
in one fnmme all tbe fine Goes ,tbe y mafce
60 I nebes. Cbe balte (030: tbat fcruetb
f 0; one bjeaot b Cbcn tbe tine e.f. tobirb
soetb from tbe Centre 0} iniooeftof tbe
jbquare to tbe mioole of one fioe, is 8.3n«
cbe*.Oicttoo numbers 30 snDS muft be
fougbt (as before) m tbe table of squares
f ottotof ng, 8t tbe common meeting, pour V
fquare u)a!l appeare 1 5.3itcfcef,t ;. Chi* KWS| P£
fqnare 1 j.fechc in tbe Cable of SClmbec ;Kij
meafure. Cbcre pee map fee right toitb It >*
7 •tobcSjanD ;. JSoto becaufe cf \, tbe oatc quantttfe of tbe
K> 2 £qnatt
The Art of meafuring
fcq^ireabouc i^3ncbco,iapfomctbmgleu"c. SSfcrnfee fjofo
ct.cntitnrfl tbnt mcafurc (fo toi$ ctfrrction tar.cttD) b front
tbc c iu ntfc of pour iLimber to tbc cti)cr: auD aifir mc fo ma*
up tm.ca a footc fquacc tbcrc to be, as tbat mcafurc is fouin
in iljc Icngtl; of pour Jicggc.
How round and hollow TimbcrjSteeplcs,
PillerSjGlobcs^&c.arc to be mcaiured..
The ix. Chapter,
It ft gfrb (be 1 oggc renins about to it I) feme line:
tljcn ciufoe tbc line tob.'f b compaGct b tbat ttm*
ber In ttoo equal! parts : fcorpetbe one part fo;
tbc bigger b;eactb. 3fter,pe dial I ctutoc agaf ne
tbattobolclcngtb(tbe ttooanottocntftb part
ratt atoai>)ut tbjecparf*, ano take the bait* of one of tbent
fo; tbc otber narrotoer bjcaotlj. OTtb tbc meawr cs of tbcie
ttoo tjeac tbs,batt to your tabte,pcrfo;imng all things aj a*
fojeteopeneo.
Enfamplc.
feappofe tbte little priece of timber,
i.k.l.m. lucre to be tncafureMbc com*
paffc o; giroing 3 tf .3ncbc», tbc balfe of ,
tbat is 1 8. being tbc one u;eaotb : tfcen
tljc tbirD part of 96J0 1 2: tbc balfe of it (0
6. tobicb is the otber narrotoer b icaotb,
toitb tbefe ttoo number* tf.ano 1 s.cntcr
tbc Cable of squares follotofng, ano fo
tbe SCable of SDmbcr meafurc. at tbc
latt(all tbmg* pcrfo;meO m before) pa
(ball ftnoe tn tins rouno Hog, tbe lengtb
l.m. being eigbfane Sncbeo, one f oote,
an& ; part of a f oote. %\)\s is fuffiefent
To; mi fqctj Ube.
TimberjSceepIes^&c. 13
A note of hollowed Timber.
Itfttebanretb^t boMotofo tfmbfrbcfobsmr.u'UDtttc.Ti
fare tbe tohole JLoggcns tfcongbtrtucrenotljcUjUwr;*
boueiflDccljrio. SHUcn mcafurc tbe itarrotocrano b:oaorc
0De of ttjc bollalo, anD fee \wbat is contamco in fl) it, na
rbooobtttocrcmaffic5Df.nbrr. #3tu pull out rsi; Content
of tr/romtbc tobaleabonc mcafureo: tbercmame of fo;tc
mad iijcU) tobat timber fe mclabcb to tbat OoUqUjco boDp.
IHm Citable fnfeloiDo:os to rrp:cffcto tbebnleanieo, bv
tobat meane pp;amrtnf l,o: pfche o regular Steeples of al
fafljtone ace meafarc*. fllfo ;• otu p liters, bo& tbe Content
of eiobf 0 0: ^dU)Ic0 arc fearcbeb, bnleffc tbe Art of mim*
fcfna tocre taft t-o. £bat Oeing folio tone : tOuo (as nolu fol>
IttnoDltettfe
How rhc craflitude ofpicked
Scceplcs is knowne.
Mmt i pl(c tbe plame of tbe Bafe fn tbe tofrb part of tbe
5)cigbt:fopa?b3uctbe CratntuDe. £D:multfpu> tbe
Contrnt fupern'ci'al! ( founo as 3 bane inffruaebj in tbe
bcfgbt of tbe ©treple, taking foj poor purpofe tlje tbiro part
of t bat p;oDua.
How tke Content of Pillcrs
is knowne.
E
#creafe tbe Bafc pinmc fn tits illttfuoe o) $cujbf: fo
bane pc your ocQtc.
D 3 How
The Art of meafur ing
HowthcCubicall bodies of Globes
arc fearched. %
TIDc Conrcnt feuperfkiall founo, (a* 3! banc epenro)
timll ic multiplied tn tl?c Ort part of tbc Diameter : t be
p:oond is tbat pe require 2); tbc tbfro part of toe fuprrfecl*
all Content tn balfe tbe Diameter. 2D;moltrpite tbeplatnc
oft be Circle in toe tobolc Diameter :tbm take ttoo tb»ro
parts, uiljierj atocD.mahe tbc Cramfuoe.
Ofthehalfe Circle.
HJs Superficial Content mnlfipltcD(as 31 fafD)b;ingetb
tbe magnituoeof b«m.3lf an? man require enfamplc* of
tbefc latt matters, oj mo:e fufficcnt bawling : tc t tbcm re*
fo;t onto mv bockes publlftjcD of c»comctnc> lo!;ci c trjep
(ball be fatifficc. 2Trjefc little appcrtaine to Carpenters qa
a?afons : tberefo;e not by enfample occinrco.
A gcnerall note.
W$eti tb on (bait be put to mcafnre forne BcDp, 1 utt^
cut o j ocr d; fafijion, lacking part of bis fenuarc, o i
baumgmojetban fcistf cornet ffitlac&r,tbouu)altmafceft
perfect bp obferuing fiilfgcntlp tbe running fogetber of tbe
fioes. Ebcparts toantinciCjtill fee meafareOj astbeugi tbe?
Ujeretbcre, tobtebpojtienftmuft be fatten from tbc lobole
3©ot)femcafarcD.
0lfo toben tberc rcfulf rtb an? mo:e tban tb( fojmc o? re*
gular feqnare : firft meafurc tbc fqoare JBoofe : then tbe
Craffituoetebfcbabouncctb. 91! pnttQgetbcr,fcocfl)ctotbe
tobolc irregular XSoOir . £bfe tofficetb.
A
A Table to finde the iufl: Radix or Square
of any Timber or Stone.
E bcl; sd::c t!) vou to knots t&af tbfs ECable fo[<
losing is maDe fo; tbe erne fquarcof anp nu*
ncr SLtmbcr. Sbcrefoje bnoceff nno tbat tfjc
numbers from r.t0 4o.fct aboue in tbe hi:^
margfuc, betaken tbe inebes of toe b;oaocc
fi'jcof tbe timber. 3nD tbe numbers from i.ano fo Solon-
ion re to 3 ?. put in i be right part i banging margme of this
f ab I e,fi g n Ific tbe incites of tbe narrower Boe: an o to conclude
u;feflp,tbe Clement oj figure fetiti eaerpfquarc roome, bt>
token the lutt fquare. Xbe bigger figures teftloarD in cuertc
fnuarcptace.OgntfictbcluboU inches. 3no tbe otber leffer
r^btiuaro in tbe fame fquare oiuioco bp a line tbe parts of
fncnes,as }. %c.
SCWs nrfr jfractfon totoaro tbe left bant befohenetb one
balfcpartof an mcb: tbcotbcrttoa fiftsof an mcb,ano ene*
rfe figure 02 fraction bautng a point atJi'opnco Unto bwi,fome
rjealcleffetban tbat part fs:as tbfs part,; repjefenfetb fcant
ba(fe an mcb, a t»crp tittle quant itic leffe. and if it ba» ttiis
p: trues by bim.be fljeulo baue DectareOfooie quant (tie mo;c :
as tijis other fraction 0; part,; : tobfeb is mo;e tban ttoo
fiffs,aunaUoeale.
It had not been needfull to hauc put the parts of the Square f»
prccifely as they arc here : neither is it requifitc
focurioufly to take them.
n 4.
\m Si
ti*
zf-*
%
tj StjuaT
I
7
d
QtABVLA
RA BTCV M^>0
The Table of Timber meafure,
with the declaration and vie of it.
Thex.Cbdpter.
Tfefe Sable (as pee fee) is rjfofCcD (it*
to t too Columne* o* Uo toes : the
one beep u)o : t, t (j c oi bcr longer* 3 n
tbc bcao of t be fit ft, 3! banc pat tbis too? a
fait : in toe fee o no r o to, 3 n cbes, ano parte:
to ffgntfic JFeetc, Jncljes.ano parts of fe
tbes. 2Cbe fummrs tn tbc margin e an D left
part of tbc full ano feconl r olumnc, Dc
dare tlje quantity of Cbe fqnarc of K imbec
o? stone, ftom i. to 36, 3:ncl3Cfl fqnare.
frltitbintbc ro toes puii mapfinoc tbciutt
lengtb to a foote fquare, If pee enter into 1
tbem in rigbt o;ocr accojoing to tbc fquaie.
Example.
S&ppofe tbc fquarc of poor Sttatber
toere 7 . Incbes, ano tbat pec DcGreO to
fcnoto tobatmeafure 01 lengtb of tberolcr
tooulo malic a t'oote fquarc: feehe in tbc
left margfne, fenen Jncbes : ano toitb bun
in tbat 0 joer totoaro tbc rigbt bano, pe ujal
fino 2. f mte, 1 1 . Sncbes, ano J. of an 3ncb.
i^otebenufc the fraction -!batb apjiehbp
bun, it befoftenetb fomc fmall quantity
lefle tben *. of an 3!neb. 31f ft baD i.pjtches
0} points tbus :; ft Ujulo fignf fie feme little
qnantitfemojc. J^citbcr maHcfbit matter
tobct ber pe obferue t bi3 pitching 0 j no, tlie
quantttfe is fo little to be aebeo 0; pulleo
atoap.
#ofe fobat Imtb been fpofcen of IDmbcr, '
tbe fame alio fo to be tmocrttooo of done,
Uhcteifctobcmcafurco.
Thus is finished the mcafuring of Timber.
Now enfucih oi Boor j.
0
*w
»J
2t
__T
7 -4
4 i^
Z . 33
14- g
1 2
!_$
—
*<?
/
.(1
i 5
/
4.
1
II
1
I
■ »
2'
J
1
t
Y
How
TabIe$,Boord,or GTafTe.
How Tables, Boords, GIa(fr,or my
£uchlike,are meafurcd,accoiding to th^ir
length and breadth, oncly to tneiuotc
fqiurc.
The xi. Chapter.
|iT)te fbingis prrfo:mrt) bp tve fjdpe of a brge
Eablf following, OlniOrt in fire fuiaii Cables,
ano as manp ^parginrs. Cbe niff ano left
sparafne bcgfmictb at ;. uibtcb is one qudr.ee
cf an Jncb,ni>&citcntctb to fire inebca, asp«
map plafoclp perceiue u pc ratine Dotone bt> that 33 irgtne*
SCbtsbatbbfs Cable on tberigbt floe aDiopmngtmrobtw.
SCbe otber rabetb bis beginning at ffre Inrbrs , ;. ano enoetfc
attlueluc,baamgbfsp:oper xaolcalD. ipje tt>irO from tu
;.toi3.3no fo from 1 8.^024: from 24. J. to 30.:^ hff
ipargtnclsfrom :o. *. tu ;6.anotberc titOetfr,
&ftbt* tbat fi fafo, poa map gatber ib.iteaerpSDargfne
batb bis SCaMe on bis rigbt Cor. aifo pou mutt tmo\o tbat trt
tbe top,ati& bencarb, 31 baur pnt (as in tbc SC able of 2Limbcr
meaftire) tbefe n>o;&s,jFootc, Jncb at* pirts, to figmfie
5Fcctc,3nchc?,inD parts of an 3nrfe. ^hrnforuerpcliftto
meafure i5cD:o,©!affe,o: ar.p otber fucb,uu: b the bjeaotb of
I f, enter tbtc £C ablc,miv> feefec tbat b;caotb in bis p;oprt mar*
guir rtljcrc pre $all finoetn rlgbtoioer botomanp jFerte,
3m b-0,0 j parts of an 3ncb,belong to a JFote fqaare.&o of*
Ion as tbc meafure fs in your ttuflv, ttift as man p ifaete bane
ptrm tbat iSojjb.oj fact) liftc- If tbc bicaotb ercrroe tins
EablP, then OiutDc tbc b:eaCtb In par;s,anfc too:kcas (sans
lb II be or chtvo. 3>a tbc in jemous appUctb ibts JEablc fo;
all manner b;es;ttjs,mo tt irnaltf.
Example.
4 ±\->
f_7toT
17
2Ef
Z
8 ]J2? '#2?* (35 4f|
_rcZfflLs
1 /C «
2>> 4-f »7.-* 47 P" tj!LP
4
E»
The Art of meafuring
Enfample.
fenppofe 3D lane a pane of (DlafTe 02 a Bano,tobofc b:eo!q
lucre 2 2.(nct)C0,;. tbclcngtb itf.foote. 3n tbc fcurdjour-
0tnc,3ifinoctblsu;caDtb>2*,aNb;.tfnD eucn teftbittntbe
SCable rfirbtlM.iro, 3D fee 6. incbes, ; &o mutbof nipKalcr
hunting tome fmallqnanmte.makctb a foo?e.
#ott> becaafe in tbetengtbof mpboo;o(fobfeb ta itf.fof)
ibat mcafurc fs f ounb 29.timcs,ano ;. parts : 3 conclube 2?.
fuotc thereto bcc,anc ttuo tbirD parts of a footc Square, ac»
co.iDfnrr to tbc length ano bieotb. 3 CaiD(ujantfng fomc (mall
ejuantitp)becaufe of tbe point iopneo to tbfs f ran ton ;. lu btch
is put to Dimlniuj tbc fraction fomc little tbing, as is Declare o
plainly in tbe otber Sables before put f co; t b .
HC t bat DcGretl) to mcafurc ebambcr flajes , uau emenf s,
02 fucb ttfec,lct bint oncip multipUe tbe b;eo t b toitb tbe
tenrjt l;/o tbe p;o8uct u)ewetb tbe Content.
Enfample.
IjT tftere lucre a pauement i oo.fcot long, ano in faeofb jo.
31 mutt iteeoes coueluce(bp multiplication of tbe Zens tb in
tbe b;eaotbj tbcre to becontafncD 50 ^o.foote.
O r thus without Arithmetike, when the
brcadih cxcccdcth the Tabic.
DTufDc tbe b;cDtb in parts as is openco in tbc SDeclara*
Hon of tiit table of account )nnc tooiftc as ? bauc bcfo;e
uutructeu. ^ofozpauemcutsall manner toaies itfernctn
pour inrnc C f tbis matter to put fo;tb Cables, lucre toper*
fluoustcoioufnesano folly. Sfcc ingenious tomb tbcfc teui3
lBillbefatifQcD.
The
The Carpenters
Ruler.
cr
T he face of the Carpenters Rn- 3
ler, figured with the true £
mcafurcs,and other n
things ncctflary.
The xif. Chapter. 36
BCnnfc the effect of this ra* 3 3
lev is abode occlareD bp ta* 1 o
hies, an tnff rumen t sifo tucil 27
nnovanc anD common among
gooo artificers , 31 will not 24
fpeno Kianv IpojDs in opening
It. xseljolo tbc figures 1 learne 22
bp tiir botu pe ougbt to mane,
anD eommonlp to Decfte your 20
ttulcr, botfj tbitb timber anD
booio mcafurc. 1?
Enfample. 1 8
3om(t t!)c Unlcr to be a.b.
c.d. well plainco, ttoeluc Jn>
tbes long,a quarter of an Jncft 1 7
tfi'cfe.i tuio tncbes in bicactb.
2Crulp it lucre mo?e toman*
Duna, if It hao tloo footc 111 16*
lcitgtb.££M« ruler here <mnrj(=
ncD,but a bote in lengtfj is on
ufDeD ft rfr in 1 2 cum parts eal*
ieo indjcs : fben cucrp intern 15
fialfe, oitUio eqoall pontons :
each iwlf in ttoo quarters: cue* 14
rp quarter in foure 0; 2. parts
at t lie ler.a : as in tljts rnfam»
pic. SEben are t&c figures pla< *3
reD from i.to 1 2.mamfcCing
fnc inches. Hbuspcur Unlcr
is reafcfe to rccciue tbc mca*
furcs irbicb are marfceDojfi'
gurcticurourUuIcriluis.aDD
firtt tbe timber meafure as fol'
lotocty, D
1 ) .. ' "7
«■ !.' v
11
The CarpentersRuler.
I C u>.ill rcfou to pour table of timber meafurr,
anofcehe footomanp fecte belong to one 3i?cb
fqiurc: tberepe tyall finoe 144* &bifl num*
bcr note,U);ite, 0; rafter rjraue, tibcrc (bit fi *
Cure i.repjcfcnting ene Incb.fsfigorrDas pe
nnpfecin tiieimDDcft bcttocene tbe Imc c.f.anbtbe line of
tbe figure g.h. 2Dbt0bone,refo;tto poor table againe, anb
bebolo boto manp fc etc anb parts t uoo 3ncbe 0 fqaare rcqut'
rctb. do (ball pe ftnae 36, foote, toblcb is plated fntbe nrrt
roome leftward, to noer tbe Cbararter 1, Hgmf ping t too 3Jn«
tbco. SLbuo tbe rett,fcete, Jncbco, anb parts, fonnb in pour
table, ton till pon come to tbe xi. 3 neb, tobcre pe ft, all per*
ccfuc tujclucTncbroonelpio be fet m bio pioper roctne,* c.
Cbcn feche further in pour table toliat bclongctb to 1 i3t\'
tecs. ILoe tennc 3lncbc0 anb .'. SCbio mud be numbjeo tn tbe
line c.d. from c.vobicb tine berjkenctb tbetbtfKneffe of tbe
Staler, 2paMc tberc a tittle ftnSe,bpon tbat groffenctrccuen
oKigbtagatntrrbe meafnre 10. zwm nccDeimnpwojDo*
JEbuodoe bntillpou come to 36. Jnchco, anb tbat to noted
(as tbe table of timber mcafure tljc .m!i; rigbt toitb one
Jnrb, anb '. from c p. a otbermife to performed of
bono ineafurc,ao pe map bebolo fef toitb be tbe
betpe of bio proper table tn tbe §quare
rameo bencatb tbe line c.f. and VJo
tbe otber t:j«.c ftiicffe 0; iim b.a.
IV Cu&fiti
of fGr trukr.
1. £/vyf *? of Icuml.
4
- U. J J.JUI J iMiillij hi
The backfire of y Ruler, with
ihc quadrant Geometric all.
7 be xti/. Chapter,
TfyiB other figure i.k.!.n>.
is tbe baefcuce of pone
S ruler, baaing in r> nuoDc ft of
(Peomctricallquaoiantn.o.
p.q. lubofe making in fcUl
too jes fo tbus e]tp2cffcD.&t)e
line o) bicactb ofpourrolec
n.o. g line o.p.p.q.q n.OUgbt
to be of one equal luff legtb,
cutting ecb otber fqutr c imfe.
0no from tbe centre n.frito
p. is tjattme anotber line,
urtwb to calico tbc line of
m. tjcig!)t. S)o is o.n.ttjc Imc of
■| !cucl,q.n.tbclincof beigbti
jLbp;fgt)t.£i:t)f8i?noU)n3 upc
j mp compsffrsone foot rental*
srnm«. 3 n £ centre n:thc ctfccr
~ cKcBCDmtbeliaeofleuelal*
I inoft too. making a clrcufc*
u recc to q.n. toijtct) is a pa: no
1 of a circle namcD a quao:5t:
~ < ought to be oinfoco into o0.
cquall parts, a* yes map be*
bolt) ,r ucrp of the calico a oc
grce.pe map omioc tbc lines
o.p.p.q.namcb tbe ®calc,ccb
in n.aobcrc,o2 in tfo.pcam
i ocetjuai! pojtiono is mo:e
meet fa; tbe tic of fljaSotocs,
bcigbto,lcngtbs,tc. #atcg
tbc fibe 02 balfr £>cale o.p.tu
callrt # cuntrarv fljaooto p.p
rtSbtOjaDobrtte:: ebcrtbat
K upon tbc tbtctmeflem k pee
ought to bane t mo fine equal
fyuarc figbto tocll boieD, re«
p2cferrcO berc bp r. s.tnase
of iiup\o? ratber mc trail to
bcefaffnebthcre tobrntfme
rcqutrctbtlctWofatiffie.
18
The ma*
lung of a
Gtooietii*
cal qua-
dratic.
Note thefe
ihiec prin-
cipal lines.
The diui-
dc J fides o.
p. and p.q.
3.-;. railed
the Scale*
The Carpenters Rules.
The eight
Chap lhcwcth
how the ttuc
fquare is
found.
The common vfe of the Carpenters Ruler,
touching the Face afore put tborth.
7ft/ xiiu.Cbtpttr.
tiJppofeapccce of timber to be moat en, tobofe
| truefqufirefo y.Jncljcs, tbf« fquare appointed
pou to tt)c figure of 7. m toe line g. h. bn&er
touctn r irjbttoaro in toe place affigneo to tZim*
ber meafurr,fs tu;ittcn 2.f©te,i 1. mctje^, ;. £0
often 30 tbat rmafure tsfonno mtbelcngtbof pour timber,
fo manp foote of timber is in t bat pceee.
Another Example.
Imagine pour Square to be 22. 3ncrje* : feehe fn tbe line
a.c.#otc tben bolt) mucb of pour Uuler is left from that
to tbe eno of poor Utile c. ano fo mucb be lo n jet b to a j? <n t e.
SCberefoje tap out tbe mcafar c tipon pour Htmber, <t reebort
boiu manp times re map finoc it, from tbe one to tbe otber
of pour log : fo; fo manp fmtc of timber is tbere. Oncn tbus
of ba>30«&eeke tbe bicaotb topon pour Uuler, tn tbe rome o>
place of b owe meafure, f fmmeofaflp befoic pour epes tbere
remalnetb vurjat is to be lata out to mafcc a tuff fote of bo; 0 .
The vfe of the principall lines in the Geo-
metricall Quadrant on the backfulc of the Ruler,
andfirftofthcleucll line.
The xv. Ch After.
Cbcbcauetb pou toiohc tb:ough r^oar ffgbts
q.n. placco fn tbe tJjtchncfTc 02 line k. m. a fin?
thjeoanD plummet falling at Itbcrticcutof tbe
Centre n. Zt tfjts plummet ano tbi'ea cbaunre
piecifelp on $ lint of leuel (tobtcb is n .0 0 tubat*
foeuer pe fee t bjougb p figbtejio (euct urn b pour crc:tf cttjer*
tmfe
The vfe of the Scale. 19
fo(fc the rbmg f&at pe lofcc bnfo (s not lenell, citber n:oje oj
leCTe tbnn tbe befgbtoj lenell of pcnrevc :^o?c,ini;cy!um*
met fall to pou tonro : letTc^f contrarie.
How by the line of Leuel! to forefee
whether the water of any Spring or head
is poffiblc to be brought to a place appointed,
and alfo to iudge the holefomncs of it.
Tbt xvi. Chapter.
1 £ Ojnll goe to tbe beat; 0 j &p2fng, ano fet pone
ttuler to pour rpe (being (n fectgbt equall toftb
tfeciuatcr)fo f bat tbe fine co:oe ano plummet
ffall p:cufclp in toe lute of leuci »oto if though
toe 0gbts pemap feeaboue tbe place, b note ano
inoge tbe toater pelftble to be b;ougbt : if pour fight fall on
Oer, impotable. Jt commetb commonlp to pafle, toben tbe
place to tbe tehicb pe tooulo bane tetter co nocp ct> , i s of snp
great Dlffance from tbe bcaMben Oillcs^Xallcps, ano fucb
like tmpctirme nts, let tbe L tnc oifnall to banc bis free courfe:
luberef o;c this remeDp is pjoutoeo.3t tbe beao of tbe fpjlng,
pe ujall loohe tbojote tbe fights (as before) ano note a mark*
mtbenertl&itl totoaro tbe place, fben goe to tbemarkefn
Use manner ohferue anotber in fome bill : fo fojtb bn till b? a
np of tbem pe map pcrccmc tbe place oefircD. 3nT tben pour
fight running tb:ongh tbe pfnncs of pour ttuler, (tbe tb;eo
eucr falling on tbe June n.o.) erceeoe tout place,tbe conuep*
tng of pour toater is poffible. O t bcrlnifc not.
fi otn bp tbe it>a p bJicflp pe ujall be tnff r net eB bo to pe map
fonoto the bolcfomncs of mater.
How good water is knowne.
M lie a clcane pot,ano put mater In It : Co fet ft on tbe fire:
after a little boplmg, pottue It out : If tben no filth re
$ matae
Thevfeofthe
imme in tbe bottoms of tbepot,it map face fufcgeo tbcbolff
Btcr. ©; tljufi. Let tall Drops upon mctali, 03 rattier on
<?laflc any of Hjem being poltfyeo) ano fuffertbat to D;ic
bpftfclfc.ff after tfrrc rcuiame nofpoto: fmne, (Mo a good
tuBCH. £9s;eoucr, tf pour toater bee fiurtte, pare, cleare*
If3bt,o;ofl(tt(e tuc:g.^t, u follotoetb tbe toater to beetpl'
foincfo;tbetfcofman.
Of the Line of height.
W&enfoeuer tbe Ebjco ano plummet ooe cbauneo
tampon tbe height, tvbfebto n.p.tbe aiMuoe 0;
feetgbttbatpetete eaen toitbtbe oittance from tbe mfooU
of pour 3?cDte,rotbenctlKr partofrealp unoci tbe toppc, e«
qnall tottb poor ttanotng , aeoing tbe beigbt of poor epe
00 to netware. UnoVee that pee matt eoer ffano ;tjp>fgbt
toitb bocte ano #ccfee,pour j?ecte lutt t oget bcr,t be one C go
clofco,* o
The Line of vp right Altitudes.
Tmogea!foanptbfngpla*ibef)p2fgbf foben tbe tbfctaeft
JL of pour Uulcr i.lts ciofelp tbereon,tbe plummet tben at
Kbertlefallmgonq.n.nameotbe Line of 3>efgbte op>fgttf.
#oto folloteetb t&e bfe of tbe fecalc.
To fear ch out Heights by the Scale
withthe aydoftsvo places.
Tbexviij. Chapter.
[(fcttbe2Cb;coano plummet fall to tbe one, onfbe
i2.popnts:intbe otber fetation, on tbe 6. of tie
rlobt ujaoolu : Double tbe ctftancc bet toceue tbe
ttoo places, t be fommttic appearetb from tb at part
rt tbe tt frig mcaforcD,to&fclj tgr quail in tyelgb* tolt&poar
The vfe of the Scale. i o
m. 2^2 tbc cmtnt\)ci2. fbe other In 8. ofricfjf (T;nr.oto :
tben triple tbe Diffancr. XLbc one In 1 2. ttjcotfccr nt 6. of
rfgtjt Quadruple, the fpsce. JEbe ouctn tbc 12. ihcctbrr
. in 6.ot trjceonlrartcflMDohMbm the fpaec bciftcene botb
the Stations tecquall toitb that pre meafnrr, curr tonocr*
ffan&fng front poor cpe bptonro. <£ucn tbnt fame eommctb
to pa(Tc,if in ttjc one toe Sbjco befouno noon tbc 6. of tbe
contrite, in the otpcr on tbc 4. of tbe fame, 02 tbe 4. anb ? .
oftbecontrartc. Snatltbefetbefoacea arecquall lottb tbe
tfltituoea. &otben in measuring tbc balance betluecne
tbc t too places, pre bane tbe betgbt from pour cpcbptaarD,
putting to it tbe lengtb from poor figbt ootoncmaro,tbe
toboleaitltooeappearctbttbettafebeingeqaall toitb poor
flanotng.
3 toonlb not bane pan (gnoianr beerc bote to fenotoc
lengtbowbfcbfea in betgbt not eaCe to come unto. $o)(aa
brfojc) get tbe betgbt oftbetoppe,tlje 9 itltubc of tbc USafe
02 longed part of pour lengtb* feuboutt tbe leffebcigbf out
of tbe mo;e,of fojre poor bcOrcb lengtb remainctb* 2); tbua: ? V^Sf**
iettbeplmnmetanDtbieDfaH in tbe 12. Starke ponr place: ^f^atc
goe in toroaro tbe t bmgftbc tqjcD as it *»ao) bn till pe fee tbe
*5afe of tbat lengtb: tbc w trance be tin senc tbe tluo UaODinga,
is fmooubteblp tbe Lengtb.
How with the Scale diredl or vp^
right heights by their (hadowes
arc declared.
Thexix. Cbtfter,
Rlrrtc poor left floe unto r|e &onne, faffrrmg
bei Beamed to pearce botbpoor Ogbtsq. r. pla-
leco(a* afo;e (0 fapoe) in tbe tblcheneffe 02 line
fck.m. £Zbc EbjcaD 02 piumct tfjen banging at
libcrttc,oat of ttjc Center n* Ojctoctb no mcll tbe Degrees
if* of
Thevfeofthe
of bcfgbt to be eounteb from o. as tbe putt* of tbe feealc cot :
Jf pourtljjeobe foam in tbe 12. part oilme ofleuell, flja-
Doiucs of alt tblngs being perpenoicular eleuateb, are t*
qitall tout) tbetr booics. 3f tbe plummet mttb tbe tb;co bee
percciueo, cutting tbe parts nertto tbe &gbts,tobfcb 31 name
popntsof tberigbt fyaooto, tbencucrp tbfng Direct 10 moje
ibenbts fijaooto,bp tbat pjopojt ion tobfeb 1 2. crceebctb tbe
partfl,uii;erethctbjce toasfouno. Bit it fall in I. tbat is tbe
f, r U part of t^t rigbt OjaOoto, take tbe ujaooto ttoelue times
to tnahe tbe bcfgbf . Bin t too, tbat is tbe feconb part, fire
times, tit tbe tbfrD,foure times : in tbe four tb, tbiee times :
tntbe&ft, ttotle: a no \. of tbe Cbaooto, fntbeQrt, ttoife, in
tbe fenentb once , ana ;. in tbe eigfct once, anb [ : in tbe
nintb once,an D 4 : in tbe tenth once, anb , : in tbe elcucntb
pe u)all tabc tbe tyaoo to once,ano 7V- part of it .
jy ht Aadow 3f tbe arte of numbjfng Uw;e bob, 3 tooulc fofllpon to
' mult iplie the lengtb of tbe ujaboto bp 1 2. anb tbepjobwt bt*
nibe bp tbe parts, in tbe tobicb pe foanb tbe tb?efc
Contrane flu- I3u t anb if it bee in ttjt parts of tbe contrary fl^Do to , aug*
4qp. ment tbe length of tbe njaooto toitb tbe parts Dedareo bp tbe
plummet : anb tbe increafe of tribe tbem bp 1 z So cotnmerb tbe
altituoealfo.
£bus tbecompofitfon anb fobole appliance of tbe Car*
penters ftulcr is fijc toea j tberef o:e fomc tobat (ball bee no to
faio of tbe Squire.
3! am not ignojant tbaf tbe common bfe ofbfm, i$ better
fc no tone tben % can toitb manp toojoc cr p:cffe, tobcrcf o:c 31
leane to tojite in tbat bebairc. $ottoitbttanDlng 31 tutll cc
dare bo to ©eights anb iengtbs are taftcn, ic. matters rare
an 0 lino tone of f c to Artificers.
aifu bp tables to get a true knofolebge of tbe btpbonre,
anb tbatoiucrfc toates, totfb tbe belpeoftbe feqotre, as is
openeoin mp general! Iprognottica; ion, aogmeuteo in tbe
peercofoarno;ti55<5.
What
Carpenters Squire. 2i
What length the fides of thy Squire
ought co be^and chc dilution o t him. .
Tbcxx.Cb*p!cr.
IjfteeoenotfopntfcDjtb
ttje cratt making of
tl)i6 35nftcumcnt fo well
ftnotone. &otHerfo:ctfia
figure. i£nc fiocfuppofeo
tiro fen from tfee mtoaro
angle : ano ttje otber a
toft fbote fram tbe feme.
SlIk longer a. b. f ntD3rO'
lyDmiocofromtl}eanglc
a.-fanto b. tuto 24. equal!
pjincf pall part*, ano cue-
ricoftl)cmintoalctrc(lf
pe ltff)cacn containing 1 o
minutes, fllfo ttjc fioe cd.
in ttje out toaro contrarif ,
plainc from toe fop c. ton*
to <J. ift otatDec into 1 2. e*
ucn portions: ano agafnc
(if pee require eradneffe)
etierp of tbem Into 6 eacb of talue t ©• ramnfeo : Bcbolsc a
line ano plummet falling from e. to f. alParallcll to c. d. and
a.b. SDboo tbis fqnirc is tticll frameD fo; tftetjfe or oiuctfc
Stables pnt foith in mv generall l^oguoftication, ano alio
founc finding of aitttaoeo ano Jiongtrnocs, U»buo bcre 31
purpofc nolo biuQp to open.
How by the Squire heights are knownc.
Ailt ituocs 0; nclglj to are f ouno , toe line 0; plummet cert'
trco in tbe fir t popnt, catting h. tt>c roiDole of a. g . Cbe
$ 3 moat abla
Thcvfeofthe
Hortcable flgbfaplaccD ma. g. o; a parallel! from tbat line,
not Unlike, ao i* ope nco of toe line of be ijj b t, In tbe take of
mpttuler.
How Lengths in plainc Ground arc
fearched by the Carpenters or
Mafons Squire.
Tlttxxi.Chafter.
#ae a ffaffe bfuiDco into certame portion*
as re lift, in aioo.or aiooo.parr*. 3t tbe
beginning of pour lengtij, upon tbe U:rp top
tircctlp ttflnemg, fet tbe fnioaro 3ug!c of
tbe squlre-llft tip o; pat Ootune this mtfru*
incur, Un 1 1 It r ou fee tbe furtbeff part of poor
longifuoe, 3! meaneUntill pour Ggbt running from tbat
single, to tbe cno of pour squire, come unto tbe furtbeft
parr of tbat lengtb.lEbe squire fo rental nf ng,anO tbe s ta fife
not rcraoueo from brs bclgbt. (par he tobcrctbeotber cnoe
of tbe squirt nert unto pou noteoupon tbe Ground, see
tobat proportion tbe staffs tben bearetb to tbe part of tbe
grouno, teblrb the necrett cno of tbe Squire popnteo Unto
from tbe stnffc: tbe fame a; all tbe Lengtb bane to tbe quau <
title uf tbe fame £taffe.
Example.
Thcewre is 'T'te* &taffe a. c. to tbfa figure i$ fwtauifl 6. f oofe, a no
taken out of I tbe fpacea.d. 2._f oote. Conflocrmg noto tbat 6. tbe
luciid 3 j.pro. lengtb of tbe staffe container!) n- .tbrt re, therefore tbe Hon'
gttuoe r eCrcD,n. b. of fo:ee mutt containc tbree times tt>e
staffe (UJbfcbstarTc ta6.jFcote) tbatmaaetb i8.£ste. 0a
ibis fopzamcu trucbpafmil! grouno in tbe figure follotax
ins : fo tbe arte tattct tj not m a greater fpace,ttMcb tbe good
Speculator
f he 4- pro. 6.
boofce.
Carpenters Squire, i%
&p« ulaf o * ano Diligent iB;actffer bp any toap cannot ocntc.
^ctcppcrirnce totlletb mctbis to confcOTc, tt;at tijc Squire
(0 not conttenicnt fo; anp long Dittance, bnt the 3 nftrnuicnt
©come t rfcalt \ fcobore making ano bfe pe map pcrcctue in t bo
2Drcati(eroUot0(ng)bn(c(Te pc afrcno fomcErceojETnrrct
fo* pour apse, luijuij icngtb unoUmc,u)all ft aho in fcao ol
pour&taffe.
A Note.
ISC bebooetb pou to baue a fine co jB,roaac faff in tbe bppcr
part of pour & t nffc c to Ijf c b u)al I be tfeft cucn toitb tbe in <
foaro eo^e of tbe £quire,ano fo ojalanc to tbe grouno,tobcrc
tbe nccre enb of tbe Square from tbe & t aff c popntco ,as pa
feed.c. tbe otbtr cno tben trulp Directing to t^t furtbea Dt-
femct.
ftnototbaftbe grounbrautt bebcrpplafncan&lcueU,0'
tbertotfeerrojenfaetb.
SDbas tbe tfe of tbe fequfre is bere fometobat ocdared.but
moje in mp gencrall pjognottfeaffon, pea mottplcnttfullfe
bercafter (€5oo fparing life; in a H5<Dhetitkb,Therare vfe of
the Squire in practifes Mathematical!. 3!nfbe U)f]tcb 21530RC,
profitable pteafant erpcrirnccfl u)al( be plafnlp opened (onlp
ofmcpja(ttfco)aa uicll of gerfpe (tiut, as of tbe ^atbema*
ticalf w geiuratl.
A little
A little Treatife,declaring the making
and vfe of an Inftrument Geometricall,fo
fane as it furthcreth the Landmeater oi Car-
pentcr/iaqaed the profitable
Staffe.
Tothe^Reader.
Said in the beginning,that no little Booke would
con tame the making and manifold fruits of this
princely Instrument, if it were fet foorth as it
ought to be inhispeife&ion. Certesthetrueth
euen here maketh me confeflc the fameryea that
there is no Inftrument fo generall and profitably pleafant :
Notwithstanding know(gentlc Reader) that theoccafion of
his chiefc vfe and profit is not here miniftred : neither,to fay
the truth,doth it appertaine to, or agree with the capacitie of
fuch Artificers. Therefore I fliallleaue to intreate of his ample
large vfe and beft making,and will fet him forth in few words;
yea fufficiently for the Land-meaters capacitie or Carpenters
purpofc,that at the lealt they may receiue fome kindc of fruite
with the Geometrer. And in time to come (by other meanes)
as I fee caufe,I will largely declare, and there decke him with
his proper beauties. Here now followeth the making,
and fo briefly, how he is applied for the profit of
the aforenamed Artificers.
The
profitable Scaflfc. 2]
Thcntakingof this profitable
RotideorSta&V
TtxfirftCkApter.
ft tyall pieparc tluo ^
rmall,»it(gl)t,fttffe,
;oua,o2rat'cerfquare
tecs, of met mil o: of
UiBD,tocUpl»meO,of
like b, 'tneffe aul length. 3!t'.)oufl0
it malic no matter oj tobat length,
pet to auoybc t^e crrois , ton id)
little inttrumcittfl, * fljoit ttauc*
bjmg, ano alfo to beate luitb tbe
race bntoonteo banding of fuck
0rt(ftccr3 : let pour ttocs be cart)
fiuc,02 at tbe If aft t bj er f oote, an D
cucrie foote biniceo m 12. cucn «
parts 02 Sncbf 0, 00 pe fee a.b. anb
c. d. SCbefe Hods mull beefojgeb
loitba tifce in tbe eno oftbem to
f opne rsaDtip tenne c 2 fire foote (n
lengtb , ( toben time reqtriretb) a*
tbe figure e. f. ujetoetb- 9lfo pee
mutt get ( bp tbe befpe of Tome
Craftfmanjfonrc other like ftoC0, \h\^
tbe longer g. 2. foote : tbe nert h • a
1 fcotc : tbe of b? r 16. Jucbeo.tbcn
k. 3. JncbeB, tbe Uft ano u>;tea
1. 1 -Uneb, ano ;. Caeb of f&tfe mutt
bane in t bclr miobeft a bole, tbat
tbe long ft iflfe often foote map be
put tbJougb tbem,anb tbcp mouco
nnbi'm at p feature bp anb botone,alluai'C0 cutting tlje ion*
gcr aanc c.f fequlrctoife, anb mace to tarrp on anp ofuifion,
6 at
Thcvfeof the
as eceaftcn lljall be gftten : lebfcb all are caf: lip to be pr reel'
ucobptbe figure foliQUJing, altbougij my race Declaration
batb net crp:cu*co mp meaning.
S;erc note tntbeffcao of pour fy:jt ttaocs, pee map banc
o«e crofte ftaffc two fate iang.Umb currant Ggbts, To artiS*
ciallp maoe,trmt altuates tbe fijo;t ftaffc u)all ran fqatre up*
on tbe longer ,ano trje figbts o ittanf , as pc ltd to place tbem.
Things nccdfull to bcknowne before the
vfc of this Infliumcnt is opened.
Tbe if. Chapter.
r;'Cfo;c J fmreate of tbts tofe, ft bebottetb to hnolu
^ tbings nccrfhilc, anDfirff tcbtcb of tbe flue little
w ft\:urs g.h.i.k.l. mcntioncD In tbe making, is to be
pot bpun pour long ftaffc e.f. accojoing to tbe oiffance of
ttjemarfec. i^otetf pourmarbe benecrcbano, be tt length,
b;eao tb, 02 H ci jbt , tbe longer g- Dotb feeme meet elf to liaue
tbe r 0 0 me,f f ma: c of (engtb>tbe otber h.ano fo rbc fartber 0 1 *
ftanee, t be Gjo;tcr tbe ftaffc require tb to be, Uibtcb (bait 00
cupie tbat place. QU p;artife ftjc luctb tbls better tban manp
loo; is. 3lfo n ite,tf cbanee be to goe m to \s aro pour mar tie,
(as after pe fljal fee boU>) p 0 u muft remoue tbe Qjo : t ft ant in*
luarDmojenecrc to tbe eno of tbe longer e. 3f pe be compel*
Icd to goe from it, t be n put it from c.t oinaro tbe eno f. 3lfo
remember tobenpc are appofntce to m'eafure anpbjeaetb 0;
length (as u)all be ecclaret) it beboouctb pou to ft anD ngbt
lu i ib,a»D agamff tbat b;cotb : pta ana tbe longer tbe bjeDtb,
0 j larger tbe U>f Denes 03 lengtb is, tbe better tbe tbf ng twit
come to pafle. Snofoj bct'gb to tt is neceffarie 'if pc rcgaru all
picnfencsj to bane tbe bctgbt llano Dfrrtflp bp.
Note this that followeth to be gcnerall
in all workings.
YC muft liana rigbt b? to ttb pour Boofe an: netke,ponr
fate 1 uft together, poor |?nrU)5 net mucb mo Ming, tbe one.
eft
profitable S:affe. i^
ep c clcfcD,tmD cocr martie pcnr ft anting rfgbf fa ftb etc mfoff
of pourfeefr. 115c not igmwantbcrr.tbat J rail tberrfrcmcs what there
of tbe little ftaues., tbe fccrp tnos tuyere rbe figbf eucr run* words m«w,
nettj.anono cuTerrnec bfttoeciic tbejaitltu&eano Brfgfjf, J-0"!""^
fictUicene tbe HongltuoeonD lengtfc: tbe liafitnoc t bjeaoth. }£ *'
JEbe fljojt ftaues 3! name up tbe letter ftaureocucribcm.
l?our epe mutt eucr be placco m tbe enD of tbe longer ttaffe e.
mm lotrt) tbe other epe pe ougbt to Unnhe.
Ojcfe trifles ano fucb Hue omftteo, tctfetb tbe truetb to
come to patte,auD mafec men to fafpert tbe £>rouuD,tDbleb is
mott certain?.
How heights ftanding directly vp,are
mcafured by thelnftrument.
The iij. Chapter.
*Y=g=oo 1 tat tbe ffaffe g. tjpon tbe longer e. f. ano meue
y JrjV) btm bfs tuft lengtb from tbe beginning of tbe
fr> longer c. turne tbe ens* of g. to tuaro pou,anD
£jl aceo?0(ng to tbat befgbt placing pour epe (as
fsfapo) eucr at tbe beginning of tbe longer e.
" toftb tbe otber epe touibe. Cbcn goe bache
tjnflllpc map plamelp pcrcefuctbe toerp upper part of tbat
$ltttuoe, ano alfotbeSotoerenD bptbc crtreames of pour
titter ftaffeg.j*oto tbe fpace of tbe mtoftlc of pourfotcto
tbe bafe of tbe bcigbt is equall to ttb tbe 3 it tt uoe
Or thus.
£21 ben pe fljall fee nnp 0ltituDe,tobofe mcafure pe require,
imagine bp eonfecture boto oftentimes tbat bcigbt is found
in tbe fpaee from it unto pour trancing. SEben mouepour
tpo: t rr ttaffe (ctjofen a* aboue moft conuenient) eucn as of*
Un bis otanc length from tbe beginning of tbe longer c.
<3 2. to&cre
Thevfeofthe
toljcrc ponr ere <* w«r plarta. flCbfs Done, turne tbe enif of
pout little faftv.ponr epe being m c.accojDiiTg to rbtttttffbt:
ItfUclP^ctbcrrcinnpfrt bn'yeertremfsaf psur fyojtcr itje
b;rptop,nHDalfo rbelovoeirpartof tbcbefgijf. JCf not,moue
tbe fyotfer a le ngtb furtljrr tolniro f. o: ncerct to e.au pc fee
C3nfe,aiiD an pour cornea nx tales. £>j lee pom* little ttafTc
remain?, as bpconiecture bee 19.10 ptif^atTJ goctoiuarooj
from tbat bcfgbt ,tat til ( tje aitituOe agree luttlp toitl) tbe ec
tremes of pom «>i;t ft iff;. i^!j?n nurltc tbat place im t b ti;c
mioDctt of pour facte.
#ompe map conclnsctbattbebcigbt is as often cental*
neo in t be oiffance, tobicb is bettoccne toe mar ke ano tt, as
tbe length of tbat little ttaffc is faunp remopco from tbe cuo
of tbe longer, fc.
Example.
How Ac iaii 3f tbe ujojtffaffc be ten times bfsowne le ngtb from c. af*
height it firmc tbe bcfgbt con tainco in tbat Dtttancc ten times onlp.
knowne. &be aitituoe is tbus gotten, tf}oue poor $0? t Carte fro n
bis late being a lengtbettbcr towaro 02 from e. as pe lift to
ejoein 0; bacHe.fCbentjoefro 0; mere tjnto it (as befoje) t»n»
till tbe bcrpfommf tic, anb alfo tbelotaeffpartof tbebefgbt
agree umb tbe rr t remes of poor fbojter (raff:. 2Ebe fpace
tbenbettearne poor marhco place anb ibis latter. Declarer!)
tbeiuft betgbt. £Jf ten. lines tb;ougb tmpebimenrs, pee (ball
not baue rame to gocfo farre bache 02 fa ; mar d, as tbe betgbt
Aremedypro rommetbtmro, Cbis remebie is p)omDcb# tpjue tbe little
ttidedfor want anfTe baff c bis tcHfltt?, anD fo dike tlno (rations (as befo :c)
* sroun<L tntill tbe extreme of tbe ujojf er ffaffie be founo tafttp to nn«
f lucre eitber eno of tbe be igbt. SEben tbe (pace be tin erne tbe
t too ftanoings mod be Doubled to bane tbe iutl bcigbt : 0 j tf
pe [tityVtmap moue tbe fljo;rcr, accojrmg to tbe fourtb part
of bis lengtb,o; to anp po;tlon, as to tbcfift.firuujpniPjtr.
tben (ball pc bane tb*t part ol tbe bcfgbt betloane tbe t too
Cations.
Set
profitable Staffs
^1
^etftnototbte (toblcb Wttcnet bv DHfgenf p^acttTe toClt
$eU?) t be bt'sGcr p.irrs pe tali c, tbc trffc erroj pe commit* 3
little err oi oft en mntf tplfcMncreafetb to a great.
# oiu cbat all tbc af ;;efpo!un maf tbc better be pcrcctucD,
berjolo the erample ensuing, w pc map fee bo figure Declared, T.
In tbe ivtycb tbc bcfgbt is f magi nro a.b. tbc Ortt nation c.tbe of ?h,f may be
$o:t ttaffc g.f s moucc from c. ju ft fjtci length. J! am fojceD to gachctcd of
conelooe, tbat tbc usafc of tbc bffflbta.b. ts from mp (tan* tuchoc in his
Ding c.euen b:s pjeeffe lengtb. s>o tben it pe mcamre tbat of* p«rfcai»«-
flance of a.c. feeing i $. paces, pe banc toe erne befgbt of a.b. x I,Tbco*
u manp . 3n tbc otber ffanoing place d. rbe fljoKer ftaffe is
founo from r.ttuicebte lengtb am a batfe, tobcrcfoje 31 mutt
aflnrmc tbc beigbr a.b.to be conf amcD o; fount in tbe Diftance
a.d.tiDiceanDabalfe: UJbfcb lengtba.dJsapparant32.pa*
icco. 3U tbi0 tbat to fpohen of ttft befgbr, map met I be tmoec»
ttooD of iatUuDes 0; toioeneffe0,and lengtbs following.
In Altitudes this rule is not perfect, except the eye be
lcucll with the middle of the Altitude.
/*■
t* lacf$, £ $* j is the Imqt of a.&*
How
Thcvfeofrhe
How the breadth or widenes of things
^refound,and by thcm,Length or any
diftancc at plea lure.
The iHf.Cbtpter.
j Datfocucr 31 bane fnffructeb afojc cf befgbfs,
tbe fame ttnccrffanD berc of tofoenes, lengths,
tc.jro; none otbertoife arc lUtitufcrso; voice*
!j nctTee fearcbcD bp tbt0 Jnftramcnt.t hen bcfo:e
w Declare o of bcigbtc. onciptb's crerptcD, that
the fl)o:t Caffe mutt Ue contranc, tlic cnDs arrowing to trje
b:caDib,reeingbptbeertrcamcsof tbe u)ojt Gaffe, tbc bene
bttcrmefi parts o; enfis of tie LatttuDc, noting pour ttatl*
)ns rfgbt ton b tbc mioff of pour foot. Sinn fo pcrt'o; :nc all as
cofo ;c. i3no as 3! fatOjtbcreef (be pacts of tbc bclgbt foano be*
rtccene pourffanoings, men tbc fame things (s iucllbfcO
ticre,fo; alt manner parts of tbc b; en or l;.
Example.
T£)cb:raDtb In this figure follotoma; foppofco a -b. aifo
tbc fir ft ftatton c. tbe nert d. jpp Defire is to hnoiu the
U, iDcneffe a.b.ano tbe lengtb o; otttanrc d.b. sp atl fioto tbe
cnosof tbc IctTrr ffauco are ttrrneo totbeertreames of tbe
toiocncffc. SCbm bebolo bom tbe fljojt ftafifc in c.ts but once
%i* lengtb remoueo from e. rabercfw (bp tbc inttrufltons
of heights afoicjpc map boldlpfap, tbat tbe wlocncs a. b \t
but once contafneo betmecned.anob.anD tbat raeafurc is
founo i2.(co;c,as tnucb as Is tbeotber a. b. 3!n tbe ferono
tfanmng d. tbe tittle ttaffe is remoueb tbjec times bis lengtb
from e. f 01 tbatcaufe 31 eoncluoc ■ ano tculp) from b. to tbat
iratt'oii tb jot times tbe b:eat> :b,tt)bf cb b;eabt b Is 1 2.fco;e.&o
bp tbr toi&cncs 31 banc foanb tbc lengtb of b. d. <6.ftoje, mp
5f 0rc Xbus ace JUtltncc* founo,anb bp tbem L engtns, k.
Behold
profitable Stafie,
zo
Behold the figure.
Yc muft alway (land diredUy againft the middle of>he
Breadth.
12 Sco
Kj>
OT,enfocuc«- an,1 mfiaircefjei put, tobofc certain? '*n$fb
r * require meafnr*; (tip tbe art crp?c(TeD) either tbe bffgbt
oi a,ip tbtner r&m f euno* o; tbe b:eabib, ana fee bom often*
turr 3 tf;at toifrijnetre o; lengtb 10 contafneo Unto poor ffaft*
King : febPb unotone, (be length cannot beebtMJ isoe»
etarra,
N& to to f e to too:o* to eondobe, re map bp tbia 3fnffrn< a nore larger
mem nuafarc tbe nittance of poufe0,&tee|)!f0,2Cree0, *f*<*&*im*
iv' icngtb of fl£iailc0, tbe b;caotb of Ditrbea, Jangcs its "
l ■lo.bt, ciib fudrlike* Sbe gooo totttfe Carpenter tt.momg
fti a place, tub ere bee map plat nip freatobolebeufe, 0; anp
manner frame tout* great pleafare,map bp tbia get fpetotlte
tbe true p;opo:tf on of tbat bonfe, tubieb be onrjbt to note 1 11 a
STablc, and toben time commetb (not to tt bout bt* great
p?aife)map mahc,reari anc fet bp tbe line. JEtjta I taHc to be
fufficient fo j tbtfe £ ra it fine*.
ibt*
liniment.
v°Vu'. .Loo
Thevfeofthe,&c,
£ T#«; "-3*finac <crttouc*"nia)yotifo!)cnfocr?er ptlfll
i u j JLtome* u. ■ *nH ten? rraalp, br tf^c mttrsrncnt €>eometr(*
S!°nia!» '*" *p,l "** Pi *fe profitable fa to , to Irt "f.jlgU « «OD0e, tbe
found. -/.t^i^iji^^carcb.^jifttjeOittanccbfiiong^cpaffcoutjO)
Adfe* fofiip meate fine o» mot jacarcbea at ttr: mo e; gcno
i » i nr I" ^gtb,tbe r i treamc* noteD toit b tVoo toiKblc marfc#>
gfeea goe from tbencMriO feefte tbe length bp tbat terrains
ttnermfre, a0 is oerlaf -? : fo ftjall pe* not fade to bjing ucrie
trne lann. #oterUi -•. Utile errojfonno on tbe b;eat)tb, oft
tjin!t!p!t(?o,cncrcafctt) to a great, pca,f o an intolerable fault
• In tbe leng^f terefoze tbe bzea&tb o* toioenefle *ugbt trulp
ye fcarcbeb. ISZbtB 3 tabe fuffu f en: to; tbefe Craft fmen.
3 Hwulo oe Ore tobcrc mp groCTc tojf f (ngo fecme to be ob»
■tore, tbat 3 Uiere p;efc n? tbe inCrnder : fo; trttl( a Ifoelp
iwpce of a meane fpecntaco? fometoSjit pjadtfcD,fartberetb
tennefolo mo;c in mp faogctnenf, t ban tbe finefttojf fer.
i aretocll. Accept mp gcoo fc) UI,ano Imiu tfio jt: n ('it
<0oo fpare Ufr > fo; a profitable enrreal i of
iQcfemafier?
FINIS.
rQ 6. 1 6t£
aP*P a
.;?A siq "3 uaqi r&!*!F'J P°* ^^rop'n
-o.T<i soinap 03 j^qiju fPJpwnJ sueui
t 2 puquu« Aqptie \u:rj udijj 33U
-3tD 0)(33! 03 JJjqJEJ 'ffljjp Siq PI 3J 3J
sutui E *oUtit[-13p Xq p3l{jin2lipX3
lj;q<i r nnqjojajrE^quiq iq.u Xn
-aa'uontindo 1 ojipntu Jjaq s i-»moj
-j<>j33.M"Mia '""M3' U que>qgno.iqj
ji jo guiA3a«3 0U3 jjam '3j. ui uuq
0-tJ?|ip Attn HU0UM Suiptjaqi U ;I3
-de Avje 03U1 qpuu • ieqi jom q wyo
Miq«nm]iut Mutmy 'J3r.ni3H13<1
IjrvA sipttAW sq3*ij4< Mi° Ul Pun<l
-it:o.-> jo V *^.«J Xjsns jnoiuo? op :u
jtpjoouoouiojui sEstu.i^Bsq 3d
*tii3i oj ueu; ej ; \o ^ofjrj B 31 q si 3u
uw!.v.jv 'anus a 10 h{i\ ujip j3JC3jb
jo jracoi c Suigsna Xq u q3 'i< uoq
wotiiajtipnil n«q.i-?q r33B*8«n3
-Jt.ip ,c?oj qi|M 3CU Jnq'pDt.iq^B
trojt. q4Uj *i3ncn3ni£p..-«p3idui»i
UMUOfljQ
-\ T
^
3l)tdut03 ?n|tmptvi aqii se '(Wtbv
q ni uii v\ p tijati -S pue 'wt^ji <ut ui
€ Xq p 'j» iui| oq Oi -qSno axipdxi A"j
-tutpaojn 1 •inn-o^ino^iiiopfuijjaqi
joj sf fcrnuiKO streui e .oj ,pv\ SB aq
Xeui Suiopiu X'biitffo* joj 'uqijeio
Dinjoquow3inAqp33jUii[ -nqj.jhui
3.->tI3dx3 XjEUipjOt !3X3 3jOJ aq i Mip
-ipE po«'S put jnouoq .104 Sui; Vf
-ijddj pUE'SuipUO Jj IOJ 3.1B S3q^ Q[
•uonEJntfcj siq j03no q?mri
6j si jt 'ajnEDpooS But 3011 33q 11 41
3>AptlB '.U>413[ Siq SEUOtwJ 3E3a2e
03 jpnb?.' e 3ijE3 ol 3qSaoq3 si Stuqj
-o jsj :ji 3(|Ojj o33*jtt3 b q3iq * 3joq3
jo j^ad p 1 1 'i 3 iq'it 3unc 1?, p[no-|j 3Bqj
u oyiod sqijo ica.cf p3 ui Xpuo j a Xej
] 3uiuiX3 ([E<fpuuci/s)qi si saini 3q3jo
SniuiXnnq ' S39qio3)|E.v\Epiw uiif
-omb qwop mc( 'sjo3ni 40 pui}[duiq)
tf Fjcfiens,
to piftJRBIpf c rloDS o:ic by one.Euf
If'iyn t tiat the confijcration of
Fa^ions is to be ncg'edVd.
Mcnne men mull adliearc, but
gre.it m .n that banc ftrcngih in the-
felne* ^ ere better to nmniaitufiem-
frlurs iuditf renr and ntutull,Tet
cien in beginners to adhe.ire Co ino« 4
( drrat ly as hce V/uminof'tl c one*
faiiTiorT, which lipjflaMdl with the
Ovlvr, c« nrno^.ly pi»;t*.h beftwwjr.
1 he lovj e and weaker Fad ion is
< - «*t ' ' ' * •* ■ a .
of followers and ft tends.
contci ) , be amc l bey may claime a j
due. But inr.iuouis to vlcmcnui hi.
muchdirfecC; ce& election is good,
for it mak-tl> t)ic perfons pictcrrrd,
rr»( rethanki<l,a • Hhc « eft iTK>re of-
6cious, b cauc ail isoffauour. Itis
good not to make too much «»f any
man ai firtt becauie nie cantot hoi J
out that propo tv n Tbb oou incd
by owe is not good c£ ijobedifi ac-
ted va ith mtnv >s ^o le: but to uk-
adiiife oftiicnds is euv-r honr>r |
For locker; qft tnamjiv:, '*^* ' *
1
lj
dcinoryip A*ui 3jjonpj«AA joj ut 3?q
oj uisqj otrpXoA joj 'Suuntiqo jo
ITB3UI J*3j9 t ST S3MJ III X33.03S "3:)u"'
-i ?juod jo 3ut;a\ sijo3.i3qj 3qoU 3qjjo
iinuouSt 3q 01 st p.v\ s?.fXjoiiduiii si
ajnjsjoDiqtA sqijo jutjouS. sqoi^
•aaousqijo iqjteuou 3q3£st;utnpfc
_'iutq Xq wq p«q ussqsnrq atiAWDtpo
yj\i pjno3 J3jtai sqijo .?3U35qp:ui ji
rrqi'ljnaj siqjo pcq oq <cui uourjjp
»iruo3 quoj jrj oj iaotid opiij 3>o:i oi
ttiSno Suiuicp jj.uj 3<p acnrj jo ssjnf
ui 'snoutj? o;rc inq *dfcffetoiioqA|
-uo jou u3mo.i§ si'psmo pp .j cq duo
traqis^utqj 3joui oil SuiCujrjrq.-) u»
pue'Xpjtq sfcpronj 3qi Su7 uoitai pur
'}jnj:e ssjnj ui3[tDp o-< Suj/u3pin
Sturtsp ainc[d uqi 'sojnqt- yg ssiepp
qiiw p3^jip oj OiZ sjojn^ -touoq
qii.v\ tusqj ui 3|fcsp Xcui 3q iauwqw
uojdi Xtui wqi'iusuiSpni ?g {jn:ijo
pjnj ouioj 03 uioq: j-j^.i oj pooS si n
^pyjopuA ]pM Jou qiop urtu r sain)
■J *j3tu3j3p asi^q 3qjoiujq«jtp so
OfSutes.
brace Sutes which neucr mrane to
dtale effectually in them. But if they
fee there may be life in the m atter by
\ feme other meane, they will b# con-
tent to win a thanke,or take a i'econd
reward.Somc take hold of lutes only
for an occafiop to crctTc fomc other,
or to make an information, whereof
they c-^uld not otberwii e haue an apt
•pretext, with >ut care whatbecoc of
V futc.whcn that turn is fcrucd Nay
• vndc^-'lf e futes with a ful pur-
.4*1.- tU-1 —
Sj3UJJfJ 3JE StqDP]<S33p?3{3t3j5^
-]*{} snti(j_ 3JC mu 3ij i ( tuaqi j re a
3m se) sf/uvcijtfii-tf jiaiji 'sajitijcjiaqi
jo l4'o:3v\y3Jt3jS3i|3^2iEv,yipop
S3: Ubd iuoi| v* uodA 3joqa *iuhjvjh3
jthnMrj gjq aitfcagaiqudi jouoq
jo S33J§JQ *3nt j A3UJ U13J3qM pOoS
S3UU3 3qj3TTBuj pue *X|yni 3Uoiw
.p-.q v. 'ruajjjujpjxn aaejd |)B| aqj
ui pu\ sJ3!)Bnui juieSe 33t*3i3p ajq
~°N 31^nno '>3po:ui33ai3qioSjBj
-uj sju a ^qtJotioq ui se qom'/uW«»
qxtnoj aqiuj •simifl josjsSutJyjo
apmimsj iuojj5.jmuno Hoq)iipQ
-3p jc'sjem pnpjo sjuar.'Ji §uo[ sip
apunedtuo? seq">nj ' tiJtotru3(ftrj ait
33tjd piiqj 3qi Kl'OUOo 3Jt A. qi J31
-j? SJ^UEUip.'OJiaqj A'quJsnoS A3q;
3jnt^3q 'fJdixaud tnuia^ \o Sj3p
-lirtOJ ptlODJj p3[Jt3 0]|B3Jt q3tqM
«SJ3n!<?-Ml!'J tS9M>Wlf>ii'J 3J« 3D«|d
sp'io33| sqjuj 'Ssjeyjosjapunoj
'vjotfpiaj 3Je 3ie|ii yjy 3tp u]/3j3qa
'uotmniiAjfuv
Offitiion.
Linitcnantes, anddovthem notable
fcruices in the warrcs. The third ajc
Gr4/A»//,iauorites/«ch as exceed not
this Icantlingtobefolaceio the So-
ueraigne.and harmlcs to the people.
And the fourth Negotijs pares ,fuch as
haue great placevndcr Fiinces, and
elecutc their places with fuftSciency
ofl'atfian. •
Anv h*o» ^\c wiK
\
'*£
•^.Z#2
i<A*k ii
^ ifcS/t — »
UNIVERSITY OF CALIFC
LOS ANGELES
LIBRARY
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